426809057622528 has 960 divisors, whose sum is σ = 1432642268597760. Its totient is φ = 112191803523072.

The previous prime is 426809057622511. The next prime is 426809057622599. The reversal of 426809057622528 is 825226750908624.

It is a super-3 number, since 3×426809057622528³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28942086451 + ... + 28942101197.

It is an arithmetic number, because the mean of its divisors is an integer number (1492335696456).

Almost surely, 2^{426809057622528} is an apocalyptic number.

426809057622528 is a gapful number since it is divisible by the number (48) 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 426809057622528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716321134298880).

426809057622528 is an abundant number, since it is smaller than the sum of its proper divisors (1005833210975232).

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

426809057622528 is a wasteful number, since it uses less digits than its factorization.

426809057622528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 426809057622528 in words is "four hundred twenty-six trillion, eight hundred nine billion, fifty-seven million, six hundred twenty-two thousand, five hundred twenty-eight".