420056806001360 has 320 divisors, whose sum is σ = 1129581853920000. Its totient is φ = 143665603706880.

The previous prime is 420056806001347. The next prime is 420056806001381. The reversal of 420056806001360 is 63100608650024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5114556776 + ... + 5114638904.

It is an arithmetic number, because the mean of its divisors is an integer number (3529943293500).

Almost surely, 2^{420056806001360} is an apocalyptic number.

420056806001360 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 420056806001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564790926960000).

420056806001360 is an abundant number, since it is smaller than the sum of its proper divisors (709525047918640).

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

420056806001360 is a wasteful number, since it uses less digits than its factorization.

420056806001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84374 (or 84368 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 420056806001360 in words is "four hundred twenty trillion, fifty-six billion, eight hundred six million, one thousand, three hundred sixty".