421629704160 has 768 divisors, whose sum is σ = 1583579289600. Its totient is φ = 94242570240.

The previous prime is 421629704149. The next prime is 421629704179. The reversal of 421629704160 is 61407926124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2437165834 + ... + 2437166006.

It is an arithmetic number, because the mean of its divisors is an integer number (2061952200).

Almost surely, 2^421629704160 is an apocalyptic number.

421629704160 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 421629704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791789644800).

421629704160 is an abundant number, since it is smaller than the sum of its proper divisors (1161949585440).

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

421629704160 is a wasteful number, since it uses less digits than its factorization.

421629704160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 421629704160 in words is "four hundred twenty-one billion, six hundred twenty-nine million, seven hundred four thousand, one hundred sixty".