420337425600 has 504 divisors, whose sum is σ = 1617236765520. Its totient is φ = 106186567680.

The previous prime is 420337425577. The next prime is 420337425637. The reversal of 420337425600 is 6524733024.

420337425600 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 3 + 7 + 42 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15581724 + ... + 15608676.

Almost surely, 2^420337425600 is an apocalyptic number.

420337425600 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 420337425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808618382760).

420337425600 is an abundant number, since it is smaller than the sum of its proper divisors (1196899339920).

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

420337425600 is a wasteful number, since it uses less digits than its factorization.

420337425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27022 (or 26982 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 420337425600 in words is "four hundred twenty billion, three hundred thirty-seven million, four hundred twenty-five thousand, six hundred".