420912626400 has 648 divisors, whose sum is σ = 1731571437960. Its totient is φ = 95929989120.

The previous prime is 420912626377. The next prime is 420912626503. The reversal of 420912626400 is 4626219024.

420912626400 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 1 + 2 + 6 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 137237667 + ... + 137240733.

It is an arithmetic number, because the mean of its divisors is an integer number (2672178145).

Almost surely, 2^420912626400 is an apocalyptic number.

420912626400 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 420912626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865785718980).

420912626400 is an abundant number, since it is smaller than the sum of its proper divisors (1310658811560).

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

420912626400 is a wasteful number, since it uses less digits than its factorization.

420912626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 420912626400 in words is "four hundred twenty billion, nine hundred twelve million, six hundred twenty-six thousand, four hundred".