40320402304 has 128 divisors (see below), whose sum is σ = 99844274880. Its totient is φ = 15792537600.

The previous prime is 40320402301. The next prime is 40320402349.

40320402304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320402301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159312 + ... + 1193584.

Almost surely, 2^40320402304 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 40320402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49922137440).

40320402304 is an abundant number, since it is smaller than the sum of its proper divisors (59523872576).

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

40320402304 is a wasteful number, since it uses less digits than its factorization.

40320402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34408 (or 34396 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The spelling of 40320402304 in words is "forty billion, three hundred twenty million, four hundred two thousand, three hundred four".