420944124754944 has 528 divisors, whose sum is σ = 1513460542447360. Its totient is φ = 113195043717120.

The previous prime is 420944124754861. The next prime is 420944124754973. The reversal of 420944124754944 is 449457421449024.

420944124754944 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 4 + 4 + 1 + 2 + 47 + 549 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52168899 + ... + 59694909.

Almost surely, 2^{420944124754944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420944124754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756730271223680).

420944124754944 is an abundant number, since it is smaller than the sum of its proper divisors (1092516417692416).

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

420944124754944 is a wasteful number, since it uses less digits than its factorization.

420944124754944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526081 (or 7526040 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 420944124754944 in words is "four hundred twenty trillion, nine hundred forty-four billion, one hundred twenty-four million, seven hundred fifty-four thousand, nine hundred forty-four".