421591903920 has 800 divisors, whose sum is σ = 1704175925760. Its totient is φ = 95461908480.

The previous prime is 421591903891. The next prime is 421591903951. The reversal of 421591903920 is 29309195124.

421591903920 is a `hidden beast` number, since 4 + 2 + 1 + 591 + 9 + 0 + 39 + 20 = 666.

It is a super-2 number, since 2×421591903920² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168433389 + ... + 168435891.

Almost surely, 2^421591903920 is an apocalyptic number.

421591903920 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 421591903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852087962880).

421591903920 is an abundant number, since it is smaller than the sum of its proper divisors (1282584021840).

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

421591903920 is a wasteful number, since it uses less digits than its factorization.

421591903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 421591903920 in words is "four hundred twenty-one billion, five hundred ninety-one million, nine hundred three thousand, nine hundred twenty".