420414632686224 has 320 divisors, whose sum is σ = 1334298559426560. Its totient is φ = 125679527424000.

The previous prime is 420414632686193. The next prime is 420414632686231. The reversal of 420414632686224 is 422686236414024.

It is a happy number.

420414632686224 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 4 + 6 + 3 + 2 + 6 + 8 + 622 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 141887229 + ... + 144819939.

It is an arithmetic number, because the mean of its divisors is an integer number (4169682998208).

Almost surely, 2^{420414632686224} is an apocalyptic number.

420414632686224 is a gapful number since it is divisible by the number (44) 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 420414632686224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667149279713280).

420414632686224 is an abundant number, since it is smaller than the sum of its proper divisors (913883926740336).

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

420414632686224 is a wasteful number, since it uses less digits than its factorization.

420414632686224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933147 (or 2933135 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 420414632686224 in words is "four hundred twenty trillion, four hundred fourteen billion, six hundred thirty-two million, six hundred eighty-six thousand, two hundred twenty-four".