422456128934400 has 4320 divisors, whose sum is σ = 1783626564665088. Its totient is φ = 95411036160000.

The previous prime is 422456128934347. The next prime is 422456128934417. The reversal of 422456128934400 is 4439821654224.

422456128934400 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 561 + 2 + 8 + 9 + 34 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6925510310370 + ... + 6925510310430.

Almost surely, 2^{422456128934400} is an apocalyptic number.

422456128934400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422456128934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891813282332544).

422456128934400 is an abundant number, since it is smaller than the sum of its proper divisors (1361170435730688).

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

422456128934400 is a wasteful number, since it uses less digits than its factorization.

422456128934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 422456128934400 in words is "four hundred twenty-two trillion, four hundred fifty-six billion, one hundred twenty-eight million, nine hundred thirty-four thousand, four hundred".