421139476800 has 2520 divisors, whose sum is σ = 1970691617664. Its totient is φ = 87602135040.

The previous prime is 421139476757. The next prime is 421139476819. The reversal of 421139476800 is 8674931124.

421139476800 is a `hidden beast` number, since 42 + 1 + 139 + 476 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5073969559 + ... + 5073969641.

Almost surely, 2^421139476800 is an apocalyptic number.

421139476800 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 421139476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985345808832).

421139476800 is an abundant number, since it is smaller than the sum of its proper divisors (1549552140864).

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

421139476800 is a wasteful number, since it uses less digits than its factorization.

421139476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 421139476800 in words is "four hundred twenty-one billion, one hundred thirty-nine million, four hundred seventy-six thousand, eight hundred".