421598112000 has 576 divisors, whose sum is σ = 1513864235520. Its totient is φ = 103378944000.

The previous prime is 421598111951. The next prime is 421598112011. The reversal of 421598112000 is 211895124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448031530 + ... + 448032470.

It is an arithmetic number, because the mean of its divisors is an integer number (2628236520).

Almost surely, 2^421598112000 is an apocalyptic number.

421598112000 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 421598112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756932117760).

421598112000 is an abundant number, since it is smaller than the sum of its proper divisors (1092266123520).

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

421598112000 is a wasteful number, since it uses less digits than its factorization.

421598112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 421598112000 in words is "four hundred twenty-one billion, five hundred ninety-eight million, one hundred twelve thousand".