426311851680 has 1344 divisors, whose sum is σ = 1807433066880. Its totient is φ = 93610598400.

The previous prime is 426311851649. The next prime is 426311851703. The reversal of 426311851680 is 86158113624.

426311851680 is a `hidden beast` number, since 4 + 2 + 631 + 1 + 8 + 5 + 1 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1017450511 + ... + 1017450929.

It is an arithmetic number, because the mean of its divisors is an integer number (1344816270).

Almost surely, 2^426311851680 is an apocalyptic number.

426311851680 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 426311851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903716533440).

426311851680 is an abundant number, since it is smaller than the sum of its proper divisors (1381121215200).

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

426311851680 is a wasteful number, since it uses less digits than its factorization.

426311851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 426311851680 in words is "four hundred twenty-six billion, three hundred eleven million, eight hundred fifty-one thousand, six hundred eighty".