40603567942656 has 792 divisors, whose sum is σ = 124560862470720. Its totient is φ = 13225377005568.

The previous prime is 40603567942583. The next prime is 40603567942667. The reversal of 40603567942656 is 65624976530604.

40603567942656 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 3 + 567 + 9 + 4 + 2 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40603567942593 and 40603567942602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59975727790 + ... + 59975728466.

Almost surely, 2^{40603567942656} 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 40603567942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62280431235360).

40603567942656 is an abundant number, since it is smaller than the sum of its proper divisors (83957294528064).

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

40603567942656 is an frugal number, since it uses more digits than its factorization.

40603567942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 40603567942656 in words is "forty trillion, six hundred three billion, five hundred sixty-seven million, nine hundred forty-two thousand, six hundred fifty-six".