40355212320 has 72 divisors (see below), whose sum is σ = 137712166956. Its totient is φ = 10761389568.

The previous prime is 40355212301. The next prime is 40355212351. The reversal of 40355212320 is 2321255304.

It is a happy number.

40355212320 is a `hidden beast` number, since 403 + 5 + 5 + 21 + 232 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36372592656 + 3982619664 = 190716^2 + 63108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40355212320² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14010787 + ... + 14013666.

Almost surely, 2^40355212320 is an apocalyptic number.

40355212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40355212320 is an abundant number, since it is smaller than the sum of its proper divisors (97356954636).

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

40355212320 is a wasteful number, since it uses less digits than its factorization.

40355212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28024474 (or 28024463 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 40355212320 its reverse (2321255304), we get a palindrome (42676467624).

The spelling of 40355212320 in words is "forty billion, three hundred fifty-five million, two hundred twelve thousand, three hundred twenty".