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40404213220 = 2257314394093
BaseRepresentation
bin100101101000010001…
…110101110111100100
310212021211122200210111
4211220101311313210
51130221434310340
630321134302404
72630153101000
oct455021656744
9125254580714
1040404213220
1116154141458
1279b7357a04
133a6ba3a797
141d5414b700
1510b722daea
hex968475de4

40404213220 has 96 divisors (see below), whose sum is σ = 99042048000. Its totient is φ = 13839864192.

The previous prime is 40404213173. The next prime is 40404213251. The reversal of 40404213220 is 2231240404.

It is a happy number.

40404213220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40404213191 and 40404213200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9869494 + ... + 9873586.

It is an arithmetic number, because the mean of its divisors is an integer number (1031688000).

Almost surely, 240404213220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40404213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024000).

40404213220 is an abundant number, since it is smaller than the sum of its proper divisors (58637834780).

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

40404213220 is a wasteful number, since it uses less digits than its factorization.

40404213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40404213220 its reverse (2231240404), we get a palindrome (42635453624).

The spelling of 40404213220 in words is "forty billion, four hundred four million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1439 1715 2878 3430 4093 5756 6860 7195 8186 10073 14390 16372 20146 20465 28651 28780 40292 40930 50365 57302 70511 81860 100730 114604 141022 143255 200557 201460 282044 286510 352555 401114 493577 573020 705110 802228 987154 1002785 1403899 1410220 1974308 2005570 2467885 2807798 4011140 4935770 5615596 5889827 7019495 9871540 11779654 14038990 23559308 28077980 29449135 41228789 58898270 82457578 117796540 164915156 206143945 288601523 412287890 577203046 824575780 1154406092 1443007615 2020210661 2886015230 4040421322 5772030460 8080842644 10101053305 20202106610 40404213220