420522832566144 has 3840 divisors, whose sum is σ = 1718288863948800. Its totient is φ = 99882508492800.

The previous prime is 420522832566127. The next prime is 420522832566169. The reversal of 420522832566144 is 441665238225024.

420522832566144 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 2 + 2 + 8 + 32 + 566 + 1 + 44 = 666.

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 479 ways as a sum of consecutive naturals, for example, 1081035559102 + ... + 1081035559490.

It is an arithmetic number, because the mean of its divisors is an integer number (447471058320).

Almost surely, 2^{420522832566144} is an apocalyptic number.

420522832566144 is a gapful number since it is divisible by the number (44) 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 420522832566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859144431974400).

420522832566144 is an abundant number, since it is smaller than the sum of its proper divisors (1297766031382656).

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

420522832566144 is a wasteful number, since it uses less digits than its factorization.

420522832566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 420522832566144 in words is "four hundred twenty trillion, five hundred twenty-two billion, eight hundred thirty-two million, five hundred sixty-six thousand, one hundred forty-four".