4831472390400 has 162 divisors, whose sum is σ = 17273604438090. Its totient is φ = 1288392622080.

The previous prime is 4831472390219. The next prime is 4831472390411. The reversal of 4831472390400 is 40932741384.

4831472390400 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 4 + 7 + 239 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1365083783424 + 3466388606976 = 1168368^2 + 1861824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41882265 + ... + 41997464.

Almost surely, 2^{4831472390400} is an apocalyptic number.

4831472390400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4831472390400 is an abundant number, since it is smaller than the sum of its proper divisors (12442132047690).

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

4831472390400 is a wasteful number, since it uses less digits than its factorization.

4831472390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83879761 (or 83879739 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4831472390400 in words is "four trillion, eight hundred thirty-one billion, four hundred seventy-two million, three hundred ninety thousand, four hundred".