420977592000 has 672 divisors, whose sum is σ = 1749378044544. Its totient is φ = 94639104000.

The previous prime is 420977591977. The next prime is 420977592001. The reversal of 420977592000 is 295779024.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×420977592000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420977592001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30737154 + ... + 30750846.

Almost surely, 2^420977592000 is an apocalyptic number.

420977592000 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 420977592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874689022272).

420977592000 is an abundant number, since it is smaller than the sum of its proper divisors (1328400452544).

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

420977592000 is a wasteful number, since it uses less digits than its factorization.

420977592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 420977592000 in words is "four hundred twenty billion, nine hundred seventy-seven million, five hundred ninety-two thousand".