421294970880 has 1728 divisors, whose sum is σ = 1853661438720. Its totient is φ = 89866174464.

The previous prime is 421294970857. The next prime is 421294970897. The reversal of 421294970880 is 88079492124.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6287984607 + ... + 6287984673.

It is an arithmetic number, because the mean of its divisors is an integer number (1072720740).

Almost surely, 2^421294970880 is an apocalyptic number.

421294970880 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 421294970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926830719360).

421294970880 is an abundant number, since it is smaller than the sum of its proper divisors (1432366467840).

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

421294970880 is an equidigital number, since it uses as much as digits as its factorization.

421294970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 421294970880 in words is "four hundred twenty-one billion, two hundred ninety-four million, nine hundred seventy thousand, eight hundred eighty".