422735459328 has 1232 divisors, whose sum is σ = 1603747532800. Its totient is φ = 110612791296.

The previous prime is 422735459323. The next prime is 422735459353. The reversal of 422735459328 is 823954537224.

422735459328 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 3 + 545 + 93 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422735459323) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3328625601 + ... + 3328625727.

Almost surely, 2^422735459328 is an apocalyptic number.

422735459328 is a gapful number since it is divisible by the number (48) 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 422735459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801873766400).

422735459328 is an abundant number, since it is smaller than the sum of its proper divisors (1181012073472).

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

422735459328 is an equidigital number, since it uses as much as digits as its factorization.

422735459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 152 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 422735459328 in words is "four hundred twenty-two billion, seven hundred thirty-five million, four hundred fifty-nine thousand, three hundred twenty-eight".