1290430112841 has 21 divisors (see below), whose sum is σ = 1934806087479. Its totient is φ = 860266294416.

The previous prime is 1290430112773. The next prime is 1290430112879. The reversal of 1290430112841 is 1482110340921.

The square root of 1290430112841 is 1135971.

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

1290430112841 is a `hidden beast` number, since 1 + 290 + 4 + 301 + 1 + 28 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38054255625 + 1252375857216 = 195075^2 + 1119096^2 .

It is not a de Polignac number, because 1290430112841 - 2³⁵ = 1256070374473 is a prime.

It is a super-2 number, since 2×1290430112841² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1290430112796 and 1290430112805.

It is not an unprimeable number, because it can be changed into a prime (1290430116841) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 30650181 + ... + 30692253.

Almost surely, 2^{1290430112841} is an apocalyptic number.

1290430112841 is the 1135971-st square number.

1290430112841 is the 567986-th centered octagonal number.

It is an amenable number.

1290430112841 is a deficient number, since it is larger than the sum of its proper divisors (644375974638).

1290430112841 is an frugal number, since it uses more digits than its factorization.

1290430112841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84164 (or 42076 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 1290430112841 by its sum of digits (36), we get a square (46455484062276 = 6815826²).

The spelling of 1290430112841 in words is "one trillion, two hundred ninety billion, four hundred thirty million, one hundred twelve thousand, eight hundred forty-one".