30432242400 has 144 divisors (see below), whose sum is σ = 113208004224. Its totient is φ = 6955937280.

The previous prime is 30432242389. The next prime is 30432242417. The reversal of 30432242400 is 424223403.

It is a super-2 number, since 2×30432242400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 888922 + ... + 922521.

It is an arithmetic number, because the mean of its divisors is an integer number (786166696).

Almost surely, 2^30432242400 is an apocalyptic number.

30432242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30432242400 is an abundant number, since it is smaller than the sum of its proper divisors (82775761824).

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

30432242400 is a wasteful number, since it uses less digits than its factorization.

30432242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811473 (or 1811460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 30432242400 its reverse (424223403), we get a palindrome (30856465803).

The spelling of 30432242400 in words is "thirty billion, four hundred thirty-two million, two hundred forty-two thousand, four hundred".