420709394832 has 320 divisors, whose sum is σ = 1192134531840. Its totient is φ = 127401984000.

The previous prime is 420709394779. The next prime is 420709394869. The reversal of 420709394832 is 238493907024.

420709394832 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700015332 + ... + 700015932.

It is an arithmetic number, because the mean of its divisors is an integer number (3725420412).

Almost surely, 2^420709394832 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 420709394832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596067265920).

420709394832 is an abundant number, since it is smaller than the sum of its proper divisors (771425137008).

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

420709394832 is a wasteful number, since it uses less digits than its factorization.

420709394832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 420709394832 in words is "four hundred twenty billion, seven hundred nine million, three hundred ninety-four thousand, eight hundred thirty-two".