40564630304 has 96 divisors (see below), whose sum is σ = 87968534976. Its totient is φ = 18259947520.

The previous prime is 40564630297. The next prime is 40564630349. The reversal of 40564630304 is 40303646504.

It is a super-3 number, since 3×40564630304³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28306772 + ... + 28308204.

It is an arithmetic number, because the mean of its divisors is an integer number (916338906).

Almost surely, 2^40564630304 is an apocalyptic number.

40564630304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40564630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43984267488).

40564630304 is an abundant number, since it is smaller than the sum of its proper divisors (47403904672).

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

40564630304 is a wasteful number, since it uses less digits than its factorization.

40564630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 40564630304 in words is "forty billion, five hundred sixty-four million, six hundred thirty thousand, three hundred four".