422434374465400 has 144 divisors (see below), whose sum is σ = 1082256415218720. Its totient is φ = 153229422720000.

The previous prime is 422434374465349. The next prime is 422434374465401. The reversal of 422434374465400 is 4564473434224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422434374465401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12061344 + ... + 31469743.

It is an arithmetic number, because the mean of its divisors is an integer number (7515669550130).

Almost surely, 2^{422434374465400} is an apocalyptic number.

422434374465400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422434374465400 is an abundant number, since it is smaller than the sum of its proper divisors (659822040753320).

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

422434374465400 is a wasteful number, since it uses less digits than its factorization.

422434374465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43531526 (or 43531506 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 52.

The spelling of 422434374465400 in words is "four hundred twenty-two trillion, four hundred thirty-four billion, three hundred seventy-four million, four hundred sixty-five thousand, four hundred".