1461489984241 has 27 divisors (see below), whose sum is σ = 1806167002059. Its totient is φ = 1178901073728.

The previous prime is 1461489984217. The next prime is 1461489984277. The reversal of 1461489984241 is 1424899841641.

It is a happy number.

The square root of 1461489984241 is 1208921.

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., 1137838223025 + 323651761216 = 1066695^2 + 568904^2 .

It is not a de Polignac number, because 1461489984241 - 2¹⁷ = 1461489853169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1461489984241.

It is not an unprimeable number, because it can be changed into a prime (1461489904241) 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, 143856520 + ... + 143866678.

Almost surely, 2^{1461489984241} is an apocalyptic number.

1461489984241 is the 1208921-st square number.

1461489984241 is the 604461-st centered octagonal number.

It is an amenable number.

1461489984241 is a deficient number, since it is larger than the sum of its proper divisors (344677017818).

1461489984241 is an frugal number, since it uses more digits than its factorization.

1461489984241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20366 (or 10183 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 61.

The spelling of 1461489984241 in words is "one trillion, four hundred sixty-one billion, four hundred eighty-nine million, nine hundred eighty-four thousand, two hundred forty-one".