426262356407160 has 384 divisors, whose sum is σ = 1705092822276480. Its totient is φ = 89934383960064.

The previous prime is 426262356407119. The next prime is 426262356407179. The reversal of 426262356407160 is 61704653262624.

426262356407160 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 6 + 2 + 3 + 564 + 0 + 71 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 426262356407097 and 426262356407106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492304514 + ... + 1492590126.

It is an arithmetic number, because the mean of its divisors is an integer number (4440345891345).

Almost surely, 2^{426262356407160} is an apocalyptic number.

426262356407160 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 426262356407160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852546411138240).

426262356407160 is an abundant number, since it is smaller than the sum of its proper divisors (1278830465869320).

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

426262356407160 is a wasteful number, since it uses less digits than its factorization.

426262356407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331207 (or 331200 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 426262356407160 in words is "four hundred twenty-six trillion, two hundred sixty-two billion, three hundred fifty-six million, four hundred seven thousand, one hundred sixty".