421218174504960 has 1248 divisors, whose sum is σ = 1711891474046208. Its totient is φ = 93813724938240.

The previous prime is 421218174504931. The next prime is 421218174504979. The reversal of 421218174504960 is 69405471812124.

421218174504960 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 1 + 8 + 1 + 74 + 504 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 421218174504897 and 421218174504906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7817537220 + ... + 7817591100.

It is an arithmetic number, because the mean of its divisors is an integer number (1371707911896).

Almost surely, 2^{421218174504960} is an apocalyptic number.

421218174504960 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 421218174504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855945737023104).

421218174504960 is an abundant number, since it is smaller than the sum of its proper divisors (1290673299541248).

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

421218174504960 is a wasteful number, since it uses less digits than its factorization.

421218174504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54079 (or 54054 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 421218174504960 in words is "four hundred twenty-one trillion, two hundred eighteen billion, one hundred seventy-four million, five hundred four thousand, nine hundred sixty".