420532557050304 has 196 divisors, whose sum is σ = 1251530861003376. Its totient is φ = 140136986539008.

The previous prime is 420532557050209. The next prime is 420532557050351. The reversal of 420532557050304 is 403050755235024.

420532557050304 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 3 + 25 + 570 + 50 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420532557050304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 160268332 + ... + 162871124.

Almost surely, 2^{420532557050304} 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 420532557050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625765430501688).

420532557050304 is an abundant number, since it is smaller than the sum of its proper divisors (830998303953072).

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

420532557050304 is an equidigital number, since it uses as much as digits as its factorization.

420532557050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606286 (or 2606261 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 45.

The spelling of 420532557050304 in words is "four hundred twenty trillion, five hundred thirty-two billion, five hundred fifty-seven million, fifty thousand, three hundred four".