420488136372864 has 256 divisors, whose sum is σ = 1279355680051200. Its totient is φ = 119869276999680.

The previous prime is 420488136372797. The next prime is 420488136372907. The reversal of 420488136372864 is 468273631884024.

It is a junction number, because it is equal to n+sod(n) for n = 420488136372795 and 420488136372804.

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 31 ways as a sum of consecutive naturals, for example, 2263066014 + ... + 2263251810.

It is an arithmetic number, because the mean of its divisors is an integer number (4997483125200).

Almost surely, 2^{420488136372864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420488136372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639677840025600).

420488136372864 is an abundant number, since it is smaller than the sum of its proper divisors (858867543678336).

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

420488136372864 is a wasteful number, since it uses less digits than its factorization.

420488136372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187711 (or 187699 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 66.

The spelling of 420488136372864 in words is "four hundred twenty trillion, four hundred eighty-eight billion, one hundred thirty-six million, three hundred seventy-two thousand, eight hundred sixty-four".