420501907296 has 36 divisors (see below), whose sum is σ = 1195802299692. Its totient is φ = 140167302336.

The previous prime is 420501907247. The next prime is 420501907297. The reversal of 420501907296 is 692709105024.

420501907296 is a `hidden beast` number, since 420 + 50 + 1 + 90 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420501907297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 730037746 + ... + 730038321.

It is an arithmetic number, because the mean of its divisors is an integer number (33216730547).

Almost surely, 2^420501907296 is an apocalyptic number.

It is an amenable number.

420501907296 is an abundant number, since it is smaller than the sum of its proper divisors (775300392396).

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

420501907296 is a wasteful number, since it uses less digits than its factorization.

420501907296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460076083 (or 1460076072 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 420501907296 in words is "four hundred twenty billion, five hundred one million, nine hundred seven thousand, two hundred ninety-six".