40315055616 has 400 divisors, whose sum is σ = 133329144960. Its totient is φ = 12025221120.

The previous prime is 40315055591. The next prime is 40315055629. The reversal of 40315055616 is 61655051304.

40315055616 is a `hidden beast` number, since 4 + 0 + 31 + 5 + 0 + 5 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30564205 + ... + 30565523.

Almost surely, 2^40315055616 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 40315055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66664572480).

40315055616 is an abundant number, since it is smaller than the sum of its proper divisors (93014089344).

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

40315055616 is a wasteful number, since it uses less digits than its factorization.

40315055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 40315055616 in words is "forty billion, three hundred fifteen million, fifty-five thousand, six hundred sixteen".