264440033331341 has 24 divisors (see below), whose sum is σ = 308002017699576. Its totient is φ = 226377033845760.

The previous prime is 264440033331323. The next prime is 264440033331343. The reversal of 264440033331341 is 143133330044462.

It can be written as a sum of positive squares in 4 ways, for example, as 70672352689225 + 193767680642116 = 8406685^2 + 13920046^2 .

It is a de Polignac number, because none of the positive numbers 2^k-264440033331341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264440033331343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 188901125 + ... + 190295861.

It is an arithmetic number, because the mean of its divisors is an integer number (12833417404149).

Almost surely, 2^{264440033331341} is an apocalyptic number.

It is an amenable number.

264440033331341 is a deficient number, since it is larger than the sum of its proper divisors (43561984368235).

264440033331341 is a wasteful number, since it uses less digits than its factorization.

264440033331341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399629 (or 1399622 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 41.

The spelling of 264440033331341 in words is "two hundred sixty-four trillion, four hundred forty billion, thirty-three million, three hundred thirty-one thousand, three hundred forty-one".