40613762816 has 288 divisors, whose sum is σ = 96699187200. Its totient is φ = 16826019840.

The previous prime is 40613762801. The next prime is 40613762837. The reversal of 40613762816 is 61826731604.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 292185275 + ... + 292185413.

Almost surely, 2^40613762816 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 40613762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48349593600).

40613762816 is an abundant number, since it is smaller than the sum of its proper divisors (56085424384).

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

40613762816 is a wasteful number, since it uses less digits than its factorization.

40613762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 40613762816 in words is "forty billion, six hundred thirteen million, seven hundred sixty-two thousand, eight hundred sixteen".