13726320426 has 320 divisors, whose sum is σ = 39683508480. Its totient is φ = 3448811520.

The previous prime is 13726320371. The next prime is 13726320449. The reversal of 13726320426 is 62402362731.

13726320426 is a `hidden beast` number, since 1 + 372 + 63 + 204 + 26 = 666.

It is a super-5 number, since 5×13726320426⁵ (a number of 52 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41469081 + ... + 41469411.

It is an arithmetic number, because the mean of its divisors is an integer number (124010964).

Almost surely, 2^13726320426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726320426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841754240).

13726320426 is an abundant number, since it is smaller than the sum of its proper divisors (25957188054).

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

13726320426 is a wasteful number, since it uses less digits than its factorization.

13726320426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13726320426 in words is "thirteen billion, seven hundred twenty-six million, three hundred twenty thousand, four hundred twenty-six".