426804174720 has 1536 divisors, whose sum is σ = 1924715520000. Its totient is φ = 86342860800.

The previous prime is 426804174677. The next prime is 426804174733. The reversal of 426804174720 is 27471408624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891031441 + ... + 891031919.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070000).

Almost surely, 2^426804174720 is an apocalyptic number.

426804174720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426804174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760000).

426804174720 is an abundant number, since it is smaller than the sum of its proper divisors (1497911345280).

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

426804174720 is a wasteful number, since it uses less digits than its factorization.

426804174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 426804174720 in words is "four hundred twenty-six billion, eight hundred four million, one hundred seventy-four thousand, seven hundred twenty".