40320002304 has 216 divisors, whose sum is σ = 120925983360. Its totient is φ = 12909072384.

The previous prime is 40320002273. The next prime is 40320002329.

40320002304 is a `hidden beast` number, since 40 + 320 + 0 + 0 + 2 + 304 = 666.

40320002304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6731599 + ... + 6737585.

Almost surely, 2^40320002304 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 40320002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60462991680).

40320002304 is an abundant number, since it is smaller than the sum of its proper divisors (80605981056).

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

40320002304 is a wasteful number, since it uses less digits than its factorization.

40320002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 4032000 and 2304, that added together give a palindrome (4034304).

The spelling of 40320002304 in words is "forty billion, three hundred twenty million, two thousand, three hundred four".