1280072748409 has 27 divisors (see below), whose sum is σ = 1612548348813. Its totient is φ = 1012723350912.

The previous prime is 1280072748359. The next prime is 1280072748413. The reversal of 1280072748409 is 9048472700821.

The square root of 1280072748409 is 1131403.

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

It can be written as a sum of positive squares in 4 ways, for example, as 666513858409 + 613558890000 = 816403^2 + 783300^2 .

It is not a de Polignac number, because 1280072748409 - 2⁷ = 1280072748281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1280072748419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102951457 + ... + 102963889.

It is an arithmetic number, because the mean of its divisors is an integer number (59724012919).

Almost surely, 2^{1280072748409} is an apocalyptic number.

1280072748409 is the 1131403-rd square number.

1280072748409 is the 565702-nd centered octagonal number.

It is an amenable number.

1280072748409 is a deficient number, since it is larger than the sum of its proper divisors (332475600404).

1280072748409 is an frugal number, since it uses more digits than its factorization.

1280072748409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24906 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

It can be divided in two parts, 128007 and 2748409, that added together give a square (2876416 = 1696²).

The spelling of 1280072748409 in words is "one trillion, two hundred eighty billion, seventy-two million, seven hundred forty-eight thousand, four hundred nine".