420813447264 has 360 divisors, whose sum is σ = 1524351490200. Its totient is φ = 113159337984.

The previous prime is 420813447203. The next prime is 420813447311. The reversal of 420813447264 is 462744318024.

420813447264 is a `hidden beast` number, since 42 + 0 + 8 + 1 + 344 + 7 + 264 = 666.

It is a super-2 number, since 2×420813447264² (a number of 24 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 2061687 + ... + 2256585.

It is an arithmetic number, because the mean of its divisors is an integer number (4234309695).

Almost surely, 2^420813447264 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 420813447264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762175745100).

420813447264 is an abundant number, since it is smaller than the sum of its proper divisors (1103538042936).

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

420813447264 is a wasteful number, since it uses less digits than its factorization.

420813447264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194952 (or 194928 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 420813447264 in words is "four hundred twenty billion, eight hundred thirteen million, four hundred forty-seven thousand, two hundred sixty-four".