422524256000 has 1296 divisors, whose sum is σ = 1435880942496. Its totient is φ = 123002880000.

The previous prime is 422524255997. The next prime is 422524256069. The reversal of 422524256000 is 652425224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3225375935 + ... + 3225376065.

It is an arithmetic number, because the mean of its divisors is an integer number (1107932826).

Almost surely, 2^422524256000 is an apocalyptic number.

422524256000 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 422524256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717940471248).

422524256000 is an abundant number, since it is smaller than the sum of its proper divisors (1013356686496).

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

422524256000 is a wasteful number, since it uses less digits than its factorization.

422524256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 422524256000 in words is "four hundred twenty-two billion, five hundred twenty-four million, two hundred fifty-six thousand".