420347158560 has 768 divisors, whose sum is σ = 1771241472000. Its totient is φ = 92969856000.

The previous prime is 420347158547. The next prime is 420347158573. The reversal of 420347158560 is 65851743024.

420347158560 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 4 + 7 + 1 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (420347158547) and next prime (420347158573).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45929985 + ... + 45939135.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304000).

Almost surely, 2^420347158560 is an apocalyptic number.

420347158560 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 420347158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885620736000).

420347158560 is an abundant number, since it is smaller than the sum of its proper divisors (1350894313440).

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

420347158560 is a wasteful number, since it uses less digits than its factorization.

420347158560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 420347158560 in words is "four hundred twenty billion, three hundred forty-seven million, one hundred fifty-eight thousand, five hundred sixty".