421338556320 has 576 divisors, whose sum is σ = 1544061657600. Its totient is φ = 95759319040.

The previous prime is 421338556279. The next prime is 421338556333. The reversal of 421338556320 is 23655833124.

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 95 ways as a sum of consecutive naturals, for example, 639360151 + ... + 639360809.

It is an arithmetic number, because the mean of its divisors is an integer number (2680662600).

Almost surely, 2^421338556320 is an apocalyptic number.

421338556320 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 421338556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772030828800).

421338556320 is an abundant number, since it is smaller than the sum of its proper divisors (1122723101280).

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

421338556320 is a wasteful number, since it uses less digits than its factorization.

421338556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 421338556320 in words is "four hundred twenty-one billion, three hundred thirty-eight million, five hundred fifty-six thousand, three hundred twenty".