422102224801152 has 320 divisors, whose sum is σ = 1435932497894400. Its totient is φ = 120574564678656.

The previous prime is 422102224801109. The next prime is 422102224801189. The reversal of 422102224801152 is 251108422201224.

422102224801152 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 0 + 2 + 22 + 480 + 1 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336344049 + ... + 337596687.

It is an arithmetic number, because the mean of its divisors is an integer number (4487289055920).

Almost surely, 2^{422102224801152} is an apocalyptic number.

422102224801152 is a gapful number since it is divisible by the number (42) 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 422102224801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717966248947200).

422102224801152 is an abundant number, since it is smaller than the sum of its proper divisors (1013830273093248).

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

422102224801152 is a wasteful number, since it uses less digits than its factorization.

422102224801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257315 (or 1257294 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 422102224801152 in words is "four hundred twenty-two trillion, one hundred two billion, two hundred twenty-four million, eight hundred one thousand, one hundred fifty-two".