421582226688 has 540 divisors, whose sum is σ = 1480234140000. Its totient is φ = 118977030144.

The previous prime is 421582226651. The next prime is 421582226707. The reversal of 421582226688 is 886622285124.

421582226688 is a `hidden beast` number, since 421 + 5 + 82 + 2 + 2 + 66 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84330813 + ... + 84335811.

Almost surely, 2^421582226688 is an apocalyptic number.

421582226688 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 421582226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740117070000).

421582226688 is an abundant number, since it is smaller than the sum of its proper divisors (1058651913312).

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

421582226688 is an equidigital number, since it uses as much as digits as its factorization.

421582226688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5094 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 421582226688 in words is "four hundred twenty-one billion, five hundred eighty-two million, two hundred twenty-six thousand, six hundred eighty-eight".