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401035040 = 25572111697
BaseRepresentation
bin10111111001110…
…100111100100000
31000221121200122122
4113321310330200
51310131110130
6103443323412
712636512240
oct2771647440
91027550578
10401035040
1119641261a
12b2380568
1365114753
143b393b20
152531a2e5
hex17e74f20

401035040 has 96 divisors (see below), whose sum is σ = 1088567424. Its totient is φ = 136765440.

The previous prime is 401035039. The next prime is 401035091. The reversal of 401035040 is 40530104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235472 + ... + 237168.

It is an arithmetic number, because the mean of its divisors is an integer number (11339244).

Almost surely, 2401035040 is an apocalyptic number.

401035040 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 401035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544283712).

401035040 is an abundant number, since it is smaller than the sum of its proper divisors (687532384).

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

401035040 is a wasteful number, since it uses less digits than its factorization.

401035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 401035040 is about 20025.8592824378. The cubic root of 401035040 is about 737.4412723513.

Adding to 401035040 its reverse (40530104), we get a palindrome (441565144).

The spelling of 401035040 in words is "four hundred one million, thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 211 224 280 422 560 844 1055 1120 1477 1688 1697 2110 2954 3376 3394 4220 5908 6752 6788 7385 8440 8485 11816 11879 13576 14770 16880 16970 23632 23758 27152 29540 33760 33940 47264 47516 54304 59080 59395 67880 95032 118160 118790 135760 190064 236320 237580 271520 358067 380128 475160 716134 950320 1432268 1790335 1900640 2506469 2864536 3580670 5012938 5729072 7161340 10025876 11458144 12532345 14322680 20051752 25064690 28645360 40103504 50129380 57290720 80207008 100258760 200517520 401035040