40364642304 has 416 divisors, whose sum is σ = 142672803840. Its totient is φ = 11026464768.

The previous prime is 40364642243. The next prime is 40364642333. The reversal of 40364642304 is 40324646304.

40364642304 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 4 + 642 + 3 + 0 + 4 = 666.

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

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, 17804179 + ... + 17806445.

Almost surely, 2^40364642304 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 40364642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71336401920).

40364642304 is an abundant number, since it is smaller than the sum of its proper divisors (102308161536).

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

40364642304 is a wasteful number, since it uses less digits than its factorization.

40364642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 40364642304 in words is "forty billion, three hundred sixty-four million, six hundred forty-two thousand, three hundred four".