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401043440 = 24572263389
BaseRepresentation
bin10111111001110…
…110111111110000
31000221122010011202
4113321312333300
51310131342230
6103443430332
712636545600
oct2771667760
91027563152
10401043440
11196418966
12b23853a8
1365118515
143b396c00
152531ca45
hex17e76ff0

401043440 has 120 divisors (see below), whose sum is σ = 1091581920. Its totient is φ = 136625664.

The previous prime is 401043437. The next prime is 401043449. The reversal of 401043440 is 44340104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401043449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030766 + ... + 1031154.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2401043440 is an apocalyptic number.

401043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545790960).

401043440 is an abundant number, since it is smaller than the sum of its proper divisors (690538480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401043440 is a wasteful number, since it uses less digits than its factorization.

401043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 401043440 is about 20026.0690101677. The cubic root of 401043440 is about 737.4464210813.

Adding to 401043440 its reverse (44340104), we get a palindrome (445383544).

The spelling of 401043440 in words is "four hundred one million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 263 280 389 392 490 526 560 778 784 980 1052 1315 1556 1841 1945 1960 2104 2630 2723 3112 3682 3890 3920 4208 5260 5446 6224 7364 7780 9205 10520 10892 12887 13615 14728 15560 18410 19061 21040 21784 25774 27230 29456 31120 36820 38122 43568 51548 54460 64435 73640 76244 95305 102307 103096 108920 128870 147280 152488 190610 204614 206192 217840 257740 304976 381220 409228 511535 515480 716149 762440 818456 1023070 1030960 1432298 1524880 1636912 2046140 2864596 3580745 4092280 5013043 5729192 7161490 8184560 10026086 11458384 14322980 20052172 25065215 28645960 40104344 50130430 57291920 80208688 100260860 200521720 401043440