421005720960 has 1024 divisors, whose sum is σ = 1752689664000. Its totient is φ = 94406860800.

The previous prime is 421005720923. The next prime is 421005721007. The reversal of 421005720960 is 69027500124.

421005720960 is a `hidden beast` number, since 4 + 21 + 0 + 0 + 572 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 155294005 + ... + 155296715.

It is an arithmetic number, because the mean of its divisors is an integer number (1711611000).

Almost surely, 2^421005720960 is an apocalyptic number.

421005720960 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 421005720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876344832000).

421005720960 is an abundant number, since it is smaller than the sum of its proper divisors (1331683943040).

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

421005720960 is a wasteful number, since it uses less digits than its factorization.

421005720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 421005720960 in words is "four hundred twenty-one billion, five million, seven hundred twenty thousand, nine hundred sixty".