422681155200 has 384 divisors, whose sum is σ = 1549546953600. Its totient is φ = 112521830400.

The previous prime is 422681155199. The next prime is 422681155217. The reversal of 422681155200 is 2551186224.

422681155200 is a `hidden beast` number, since 4 + 2 + 26 + 81 + 1 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×422681155200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54514524 + ... + 54522276.

It is an arithmetic number, because the mean of its divisors is an integer number (4035278525).

Almost surely, 2^422681155200 is an apocalyptic number.

422681155200 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 422681155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774773476800).

422681155200 is an abundant number, since it is smaller than the sum of its proper divisors (1126865798400).

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

422681155200 is a wasteful number, since it uses less digits than its factorization.

422681155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 422681155200 in words is "four hundred twenty-two billion, six hundred eighty-one million, one hundred fifty-five thousand, two hundred".