1409759652889 has 27 divisors (see below), whose sum is σ = 1664043883551. Its totient is φ = 1190847505680.

The previous prime is 1409759652757. The next prime is 1409759652923. The reversal of 1409759652889 is 9882569579041.

The square root of 1409759652889 is 1187333.

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

It can be written as a sum of positive squares in only one way, i.e., 320449962889 + 1089309690000 = 566083^2 + 1043700^2 .

It is not a de Polignac number, because 1409759652889 - 2²¹ = 1409757555737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1409759652089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 590103307 + ... + 590105695.

Almost surely, 2^{1409759652889} is an apocalyptic number.

1409759652889 is the 1187333-rd square number.

1409759652889 is the 593667-th centered octagonal number.

It is an amenable number.

1409759652889 is a deficient number, since it is larger than the sum of its proper divisors (254284230662).

1409759652889 is an frugal number, since it uses more digits than its factorization.

1409759652889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 73.

The spelling of 1409759652889 in words is "one trillion, four hundred nine billion, seven hundred fifty-nine million, six hundred fifty-two thousand, eight hundred eighty-nine".