264440250031441 has 24 divisors (see below), whose sum is σ = 301411858219200. Its totient is φ = 229812437064000.

The previous prime is 264440250031403. The next prime is 264440250031457. The reversal of 264440250031441 is 144130052044462.

It is a de Polignac number, because none of the positive numbers 2^k-264440250031441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264440250031394 and 264440250031403.

It is not an unprimeable number, because it can be changed into a prime (264440250031471) 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 23 ways as a sum of consecutive naturals, for example, 37377501 + ... + 43885738.

It is an arithmetic number, because the mean of its divisors is an integer number (12558827425800).

Almost surely, 2^{264440250031441} is an apocalyptic number.

It is an amenable number.

264440250031441 is a deficient number, since it is larger than the sum of its proper divisors (36971608187759).

264440250031441 is a wasteful number, since it uses less digits than its factorization.

264440250031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81263481 (or 81263380 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 264440250031441 in words is "two hundred sixty-four trillion, four hundred forty billion, two hundred fifty million, thirty-one thousand, four hundred forty-one".