315051225311440 has 80 divisors (see below), whose sum is σ = 777424225928400. Its totient is φ = 118325791825920.

The previous prime is 315051225311261. The next prime is 315051225311461. The reversal of 315051225311440 is 44113522150513.

It can be written as a sum of positive squares in 8 ways, for example, as 76350826506816 + 238700398804624 = 8737896^2 + 15449932^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 315051225311440.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274552515 + ... + 275697634.

It is an arithmetic number, because the mean of its divisors is an integer number (9717802824105).

Almost surely, 2^{315051225311440} is an apocalyptic number.

It is an amenable number.

315051225311440 is an abundant number, since it is smaller than the sum of its proper divisors (462373000616960).

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

315051225311440 is a wasteful number, since it uses less digits than its factorization.

315051225311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550250600 (or 550250594 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 315051225311440 its reverse (44113522150513), we get a palindrome (359164747461953).

The spelling of 315051225311440 in words is "three hundred fifteen trillion, fifty-one billion, two hundred twenty-five million, three hundred eleven thousand, four hundred forty".