420687074304 has 1232 divisors, whose sum is σ = 1546470835200. Its totient is φ = 114124308480.

The previous prime is 420687074239. The next prime is 420687074323. The reversal of 420687074304 is 403470786024.

420687074304 is a `hidden beast` number, since 4 + 206 + 8 + 7 + 0 + 7 + 430 + 4 = 666.

It is a super-2 number, since 2×420687074304² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420687074304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7937491942 + ... + 7937491994.

Almost surely, 2^420687074304 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 420687074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773235417600).

420687074304 is an abundant number, since it is smaller than the sum of its proper divisors (1125783760896).

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

420687074304 is an frugal number, since it uses more digits than its factorization.

420687074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 420687074304 in words is "four hundred twenty billion, six hundred eighty-seven million, seventy-four thousand, three hundred four".