421631745264 has 240 divisors, whose sum is σ = 1232219570400. Its totient is φ = 134468812800.

The previous prime is 421631745233. The next prime is 421631745277. The reversal of 421631745264 is 462547136124.

421631745264 is a `hidden beast` number, since 4 + 2 + 1 + 631 + 7 + 4 + 5 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×421631745264² (a number of 24 digits) contains 22 as substring.

Its product of digits (967680) is a multiple of the sum of its prime factors (3584).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136493032 + ... + 136496120.

It is an arithmetic number, because the mean of its divisors is an integer number (5134248210).

Almost surely, 2^421631745264 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 421631745264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616109785200).

421631745264 is an abundant number, since it is smaller than the sum of its proper divisors (810587825136).

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

421631745264 is a wasteful number, since it uses less digits than its factorization.

421631745264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 421631745264 in words is "four hundred twenty-one billion, six hundred thirty-one million, seven hundred forty-five thousand, two hundred sixty-four".