420862869504 has 720 divisors, whose sum is σ = 1534967755776. Its totient is φ = 107937792000.

The previous prime is 420862869491. The next prime is 420862869541. The reversal of 420862869504 is 405968268024.

420862869504 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 628 + 6 + 9 + 5 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146765129 + ... + 1146765495.

Almost surely, 2^420862869504 is an apocalyptic number.

420862869504 is a gapful number since it is divisible by the number (44) 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 420862869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767483877888).

420862869504 is an abundant number, since it is smaller than the sum of its proper divisors (1114104886272).

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

420862869504 is a wasteful number, since it uses less digits than its factorization.

420862869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 420862869504 in words is "four hundred twenty billion, eight hundred sixty-two million, eight hundred sixty-nine thousand, five hundred four".