420566005382436 has 135 divisors (see below), whose sum is σ = 1108291348422027. Its totient is φ = 139069316851920.

The previous prime is 420566005382399. The next prime is 420566005382543. The reversal of 420566005382436 is 634283500665024.

It is a happy number.

The square root of 420566005382436 is 20507706.

It is a perfect power (a square), and thus also a powerful number.

420566005382436 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 6 + 60 + 0 + 538 + 2 + 43 + 6 = 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 44 ways as a sum of consecutive naturals, for example, 46880611431 + ... + 46880620401.

Almost surely, 2^{420566005382436} is an apocalyptic number.

420566005382436 is the 20507706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420566005382436

420566005382436 is an abundant number, since it is smaller than the sum of its proper divisors (687725343039591).

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

420566005382436 is an frugal number, since it uses more digits than its factorization.

420566005382436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18212 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 420566005382436 in words is "four hundred twenty trillion, five hundred sixty-six billion, five million, three hundred eighty-two thousand, four hundred thirty-six".