420599079936 has 1056 divisors, whose sum is σ = 1508323401728. Its totient is φ = 110361968640.

The previous prime is 420599079919. The next prime is 420599079947. The reversal of 420599079936 is 639970995024.

420599079936 is a `hidden beast` number, since 4 + 2 + 0 + 599 + 0 + 7 + 9 + 9 + 36 = 666.

It is a super-3 number, since 3×420599079936³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5761631196 + ... + 5761631268.

Almost surely, 2^420599079936 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 420599079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754161700864).

420599079936 is an abundant number, since it is smaller than the sum of its proper divisors (1087724321792).

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

420599079936 is a wasteful number, since it uses less digits than its factorization.

420599079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 420599079936 in words is "four hundred twenty billion, five hundred ninety-nine million, seventy-nine thousand, nine hundred thirty-six".