421875000000 has 364 divisors, whose sum is σ = 1550292967480. Its totient is φ = 112500000000.

The previous prime is 421874999981. The next prime is 421875000017. The reversal of 421875000000 is 578124.

The cubic root of 421875000000 is 7500.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 51 ways as a sum of consecutive naturals, for example, 84374999998 + ... + 84375000002.

Almost surely, 2^421875000000 is an apocalyptic number.

421875000000 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 421875000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775146483740).

421875000000 is an abundant number, since it is smaller than the sum of its proper divisors (1128417967480).

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

421875000000 is an frugal number, since it uses more digits than its factorization.

421875000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Multiplying 421875000000 by its sum of digits (27), we get a 6-th power (11390625000000 = 150⁶).

421875000000 divided by its sum of digits (27) gives a 6-th power (15625000000 = 50⁶).

Adding to 421875000000 its reverse (578124), we get a palindrome (421875578124).

The spelling of 421875000000 in words is "four hundred twenty-one billion, eight hundred seventy-five million", and thus it is an aban number.