422815334400 has 864 divisors, whose sum is σ = 1599282014400. Its totient is φ = 110839726080.

The previous prime is 422815334377. The next prime is 422815334413. The reversal of 422815334400 is 4433518224.

422815334400 is a `hidden beast` number, since 4 + 2 + 2 + 81 + 533 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 7166361571 + ... + 7166361629.

It is an arithmetic number, because the mean of its divisors is an integer number (1851020850).

Almost surely, 2^422815334400 is an apocalyptic number.

422815334400 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 422815334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799641007200).

422815334400 is an abundant number, since it is smaller than the sum of its proper divisors (1176466680000).

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

422815334400 is an frugal number, since it uses more digits than its factorization.

422815334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 422815334400 in words is "four hundred twenty-two billion, eight hundred fifteen million, three hundred thirty-four thousand, four hundred".