30004534264400 has 60 divisors (see below), whose sum is σ = 72108402391872. Its totient is φ = 11998066139520.

The previous prime is 30004534264349. The next prime is 30004534264409. The reversal of 30004534264400 is 446243540003.

30004534264400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30004534264409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10428344 + ... + 12990743.

Almost surely, 2^{30004534264400} is an apocalyptic number.

It is an amenable number.

30004534264400 is an abundant number, since it is smaller than the sum of its proper divisors (42103868127472).

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

30004534264400 is a wasteful number, since it uses less digits than its factorization.

30004534264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23422308 (or 23422297 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 30004534264400 in words is "thirty trillion, four billion, five hundred thirty-four million, two hundred sixty-four thousand, four hundred".