492732112244400 has 360 divisors, whose sum is σ = 1961976846945024. Its totient is φ = 112175778240000.

The previous prime is 492732112244269. The next prime is 492732112244431. The reversal of 492732112244400 is 4442211237294.

492732112244400 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 3 + 2 + 11 + 224 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32624724 + ... + 45275123.

Almost surely, 2^{492732112244400} is an apocalyptic number.

492732112244400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492732112244400 is an abundant number, since it is smaller than the sum of its proper divisors (1469244734700624).

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

492732112244400 is a wasteful number, since it uses less digits than its factorization.

492732112244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77900129 (or 77900115 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 492732112244400 in words is "four hundred ninety-two trillion, seven hundred thirty-two billion, one hundred twelve million, two hundred forty-four thousand, four hundred".