420916608000 has 1408 divisors, whose sum is σ = 1805017743360. Its totient is φ = 94755225600.

The previous prime is 420916607989. The next prime is 420916608067. The reversal of 420916608000 is 806619024.

420916608000 is a `hidden beast` number, since 42 + 0 + 9 + 1 + 6 + 608 + 0 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 3072383932 + ... + 3072384068.

Almost surely, 2^420916608000 is an apocalyptic number.

420916608000 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 420916608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902508871680).

420916608000 is an abundant number, since it is smaller than the sum of its proper divisors (1384101135360).

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

420916608000 is a wasteful number, since it uses less digits than its factorization.

420916608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 420916608000 in words is "four hundred twenty billion, nine hundred sixteen million, six hundred eight thousand".