1459040715264 has 160 divisors (see below), whose sum is σ = 4256472996864. Its totient is φ = 440451092480.

The previous prime is 1459040715239. The next prime is 1459040715331. The reversal of 1459040715264 is 4625170409541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279477 + ... + 4607819.

Almost surely, 2^{1459040715264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1459040715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128236498432).

1459040715264 is an abundant number, since it is smaller than the sum of its proper divisors (2797432281600).

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

1459040715264 is a wasteful number, since it uses less digits than its factorization.

1459040715264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328638 (or 328622 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1459040715264 in words is "one trillion, four hundred fifty-nine billion, forty million, seven hundred fifteen thousand, two hundred sixty-four".