426008098768 has 240 divisors, whose sum is σ = 1000670702976. Its totient is φ = 175076428800.

The previous prime is 426008098717. The next prime is 426008098801. The reversal of 426008098768 is 867890800624.

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 47 ways as a sum of consecutive naturals, for example, 348329805 + ... + 348331027.

Almost surely, 2^426008098768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426008098768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500335351488).

426008098768 is an abundant number, since it is smaller than the sum of its proper divisors (574662604208).

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

426008098768 is a wasteful number, since it uses less digits than its factorization.

426008098768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 426008098768 in words is "four hundred twenty-six billion, eight million, ninety-eight thousand, seven hundred sixty-eight".