26340965401 has 9 divisors (see below), whose sum is σ = 27984510399. Its totient is φ = 24788900064.

The previous prime is 26340965389. The next prime is 26340965459. The reversal of 26340965401 is 10456904362.

The square root of 26340965401 is 162299.

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

It can be written as a sum of positive squares in only one way, i.e., 20507672025 + 5833293376 = 143205^2 + 76376^2 .

It is not a de Polignac number, because 26340965401 - 2¹⁷ = 26340834329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26340965461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2754310 + ... + 2763856.

Almost surely, 2^26340965401 is an apocalyptic number.

26340965401 is the 162299-th square number.

26340965401 is the 81150-th centered octagonal number.

It is an amenable number.

26340965401 is a deficient number, since it is larger than the sum of its proper divisors (1643544998).

26340965401 is an frugal number, since it uses more digits than its factorization.

26340965401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19128 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 26340965401 in words is "twenty-six billion, three hundred forty million, nine hundred sixty-five thousand, four hundred one".