421886450401920 has 1280 divisors, whose sum is σ = 1767352283136000. Its totient is φ = 93904437141504.

The previous prime is 421886450401883. The next prime is 421886450401961. The reversal of 421886450401920 is 29104054688124.

421886450401920 is a `hidden beast` number, since 4 + 2 + 188 + 6 + 4 + 50 + 401 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3393954489 + ... + 3394078791.

It is an arithmetic number, because the mean of its divisors is an integer number (1380743971200).

Almost surely, 2^{421886450401920} is an apocalyptic number.

421886450401920 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 421886450401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883676141568000).

421886450401920 is an abundant number, since it is smaller than the sum of its proper divisors (1345465832734080).

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

421886450401920 is a wasteful number, since it uses less digits than its factorization.

421886450401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124587 (or 124566 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 421886450401920 in words is "four hundred twenty-one trillion, eight hundred eighty-six billion, four hundred fifty million, four hundred one thousand, nine hundred twenty".