542226634400 has 72 divisors (see below), whose sum is σ = 1444048137504. Its totient is φ = 197173318400.

The previous prime is 542226634393. The next prime is 542226634447. The reversal of 542226634400 is 4436622245.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30799532 + ... + 30817131.

It is an arithmetic number, because the mean of its divisors is an integer number (20056224132).

Almost surely, 2^542226634400 is an apocalyptic number.

542226634400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542226634400 is an abundant number, since it is smaller than the sum of its proper divisors (901821503104).

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

542226634400 is a wasteful number, since it uses less digits than its factorization.

542226634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61616694 (or 61616681 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 542226634400 in words is "five hundred forty-two billion, two hundred twenty-six million, six hundred thirty-four thousand, four hundred".