442133606545640 has 64 divisors (see below), whose sum is σ = 1010409243552000. Its totient is φ = 174082553618688.

The previous prime is 442133606545619. The next prime is 442133606545643. The reversal of 442133606545640 is 46545606331244.

It is not an unprimeable number, because it can be changed into a prime (442133606545643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58604615 + ... + 65717334.

It is an arithmetic number, because the mean of its divisors is an integer number (15787644430500).

Almost surely, 2^{442133606545640} is an apocalyptic number.

442133606545640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442133606545640 is an abundant number, since it is smaller than the sum of its proper divisors (568275637006360).

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

442133606545640 is a wasteful number, since it uses less digits than its factorization.

442133606545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124323354 (or 124323350 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 53.

The spelling of 442133606545640 in words is "four hundred forty-two trillion, one hundred thirty-three billion, six hundred six million, five hundred forty-five thousand, six hundred forty".