240902403302961 has 63 divisors (see below), whose sum is σ = 362705802758481. Its totient is φ = 159929696769984.

The previous prime is 240902403302941. The next prime is 240902403302983. The reversal of 240902403302961 is 169203304209042.

The square root of 240902403302961 is 15521031.

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

240902403302961 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 0 + 24 + 0 + 330 + 296 + 1 = 666.

240902403302961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190718723909025 + 50183679393936 = 13810095^2 + 7084044^2 .

It is not a de Polignac number, because 240902403302961 - 2¹⁹ = 240902402778673 is a prime.

It is a super-3 number, since 3×240902403302961³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240902403302941) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 112729247085 + ... + 112729249221.

Almost surely, 2^{240902403302961} is an apocalyptic number.

240902403302961 is the 15521031-st square number.

240902403302961 is the 7760516-th centered octagonal number.

It is an amenable number.

240902403302961 is a deficient number, since it is larger than the sum of its proper divisors (121803399455520).

240902403302961 is an frugal number, since it uses more digits than its factorization.

240902403302961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 240902403302961 in words is "two hundred forty trillion, nine hundred two billion, four hundred three million, three hundred two thousand, nine hundred sixty-one".