421153996800 has 456 divisors, whose sum is σ = 1439616604672. Its totient is φ = 108527616000.

The previous prime is 421153996793. The next prime is 421153996801. The reversal of 421153996800 is 8699351124.

It is a super-2 number, since 2×421153996800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 421153996800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421153996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609484455 + ... + 609485145.

Almost surely, 2^421153996800 is an apocalyptic number.

421153996800 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 421153996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719808302336).

421153996800 is an abundant number, since it is smaller than the sum of its proper divisors (1018462607872).

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

421153996800 is an frugal number, since it uses more digits than its factorization.

421153996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 421153996800 in words is "four hundred twenty-one billion, one hundred fifty-three million, nine hundred ninety-six thousand, eight hundred".