422039390314752 has 432 divisors, whose sum is σ = 1442300461347200. Its totient is φ = 120573030629376.

The previous prime is 422039390314739. The next prime is 422039390314777. The reversal of 422039390314752 is 257413093930224.

422039390314752 is a `hidden beast` number, since 4 + 2 + 20 + 39 + 3 + 90 + 31 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6814419978 + ... + 6814481910.

Almost surely, 2^{422039390314752} is an apocalyptic number.

422039390314752 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 422039390314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721150230673600).

422039390314752 is an abundant number, since it is smaller than the sum of its proper divisors (1020261071032448).

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

422039390314752 is an equidigital number, since it uses as much as digits as its factorization.

422039390314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77620 (or 77594 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 422039390314752 in words is "four hundred twenty-two trillion, thirty-nine billion, three hundred ninety million, three hundred fourteen thousand, seven hundred fifty-two".