421088425270656 has 3072 divisors, whose sum is σ = 1482047532564480. Its totient is φ = 104849547264000.

The previous prime is 421088425270649. The next prime is 421088425270663. The reversal of 421088425270656 is 656072524880124.

It is an interprime number because it is at equal distance from previous prime (421088425270649) and next prime (421088425270663).

It is a self number, because there is not a number n which added to its sum of digits gives 421088425270656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1437161860846 + ... + 1437161861138.

It is an arithmetic number, because the mean of its divisors is an integer number (482437347840).

Almost surely, 2^{421088425270656} is an apocalyptic number.

421088425270656 is a gapful number since it is divisible by the number (46) 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 421088425270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741023766282240).

421088425270656 is an abundant number, since it is smaller than the sum of its proper divisors (1060959107293824).

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

421088425270656 is a wasteful number, since it uses less digits than its factorization.

421088425270656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 421088425270656 in words is "four hundred twenty-one trillion, eighty-eight billion, four hundred twenty-five million, two hundred seventy thousand, six hundred fifty-six".