426253411584 has 1296 divisors, whose sum is σ = 1734673631040. Its totient is φ = 102047662080.

The previous prime is 426253411579. The next prime is 426253411601. The reversal of 426253411584 is 485114352624.

426253411584 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 53 + 4 + 11 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 629620654 + ... + 629621330.

It is an arithmetic number, because the mean of its divisors is an integer number (1338482740).

Almost surely, 2^426253411584 is an apocalyptic number.

426253411584 is a gapful number since it is divisible by the number (44) 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 426253411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867336815520).

426253411584 is an abundant number, since it is smaller than the sum of its proper divisors (1308420219456).

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

426253411584 is a wasteful number, since it uses less digits than its factorization.

426253411584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 713 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 426253411584 in words is "four hundred twenty-six billion, two hundred fifty-three million, four hundred eleven thousand, five hundred eighty-four".