421181080320 has 2304 divisors, whose sum is σ = 1951565414400. Its totient is φ = 74530160640.

The previous prime is 421181080289. The next prime is 421181080349. The reversal of 421181080320 is 23080181124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5331406041 + ... + 5331406119.

It is an arithmetic number, because the mean of its divisors is an integer number (847033600).

Almost surely, 2^421181080320 is an apocalyptic number.

421181080320 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 421181080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975782707200).

421181080320 is an abundant number, since it is smaller than the sum of its proper divisors (1530384334080).

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

421181080320 is a wasteful number, since it uses less digits than its factorization.

421181080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 421181080320 in words is "four hundred twenty-one billion, one hundred eighty-one million, eighty thousand, three hundred twenty".