421598822400 has 1152 divisors, whose sum is σ = 1806485382000. Its totient is φ = 96117719040.

The previous prime is 421598822389. The next prime is 421598822419. The reversal of 421598822400 is 4228895124.

421598822400 is a `hidden beast` number, since 4 + 215 + 9 + 8 + 8 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1083801406 + ... + 1083801794.

Almost surely, 2^421598822400 is an apocalyptic number.

421598822400 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 421598822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903242691000).

421598822400 is an abundant number, since it is smaller than the sum of its proper divisors (1384886559600).

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

421598822400 is an equidigital number, since it uses as much as digits as its factorization.

421598822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 421598822400 in words is "four hundred twenty-one billion, five hundred ninety-eight million, eight hundred twenty-two thousand, four hundred".