30405584004432 has 160 divisors (see below), whose sum is σ = 97253054072832. Its totient is φ = 7971036636672.

The previous prime is 30405584004431. The next prime is 30405584004437. The reversal of 30405584004432 is 23440048550403.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30405584004431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20111818 + ... + 21570729.

Almost surely, 2^{30405584004432} is an apocalyptic number.

It is an amenable number.

30405584004432 is an abundant number, since it is smaller than the sum of its proper divisors (66847470068400).

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

30405584004432 is a wasteful number, since it uses less digits than its factorization.

30405584004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41682745 (or 41682739 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 30405584004432 in words is "thirty trillion, four hundred five billion, five hundred eighty-four million, four thousand, four hundred thirty-two".