426868309041840 has 320 divisors, whose sum is σ = 1476048249187200. Its totient is φ = 113388665241600.

The previous prime is 426868309041827. The next prime is 426868309041883. The reversal of 426868309041840 is 48140903868624.

426868309041840 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 68 + 30 + 90 + 418 + 40 = 666.

It is a super-3 number, since 3×426868309041840³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845649726 + ... + 1845880994.

It is an arithmetic number, because the mean of its divisors is an integer number (4612650778710).

Almost surely, 2^{426868309041840} is an apocalyptic number.

426868309041840 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 426868309041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738024124593600).

426868309041840 is an abundant number, since it is smaller than the sum of its proper divisors (1049179940145360).

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

426868309041840 is a wasteful number, since it uses less digits than its factorization.

426868309041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234613 (or 234601 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 426868309041840 in words is "four hundred twenty-six trillion, eight hundred sixty-eight billion, three hundred nine million, forty-one thousand, eight hundred forty".