726413585401 has 27 divisors (see below), whose sum is σ = 849904896141. Its totient is φ = 619055446464.

The previous prime is 726413585383. The next prime is 726413585437. The reversal of 726413585401 is 104585314627.

The square root of 726413585401 is 852299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 503368965225 + 223044620176 = 709485^2 + 472276^2 .

It is not a de Polignac number, because 726413585401 - 2⁵ = 726413585369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726413585501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1867386915 + ... + 1867387303.

Almost surely, 2^726413585401 is an apocalyptic number.

726413585401 is the 852299-th square number.

726413585401 is the 426150-th centered octagonal number.

It is an amenable number.

726413585401 is a deficient number, since it is larger than the sum of its proper divisors (123491310740).

726413585401 is an frugal number, since it uses more digits than its factorization.

726413585401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 726413585401 in words is "seven hundred twenty-six billion, four hundred thirteen million, five hundred eighty-five thousand, four hundred one".