422551972800 has 504 divisors, whose sum is σ = 1641519614592. Its totient is φ = 102629376000.

The previous prime is 422551972741. The next prime is 422551972811. The reversal of 422551972800 is 8279155224.

422551972800 is a `hidden beast` number, since 4 + 2 + 2 + 551 + 97 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7560960 + ... + 7616640.

Almost surely, 2^422551972800 is an apocalyptic number.

422551972800 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 422551972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820759807296).

422551972800 is an abundant number, since it is smaller than the sum of its proper divisors (1218967641792).

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

422551972800 is a wasteful number, since it uses less digits than its factorization.

422551972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55757 (or 55739 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 422551972800 in words is "four hundred twenty-two billion, five hundred fifty-one million, nine hundred seventy-two thousand, eight hundred".