240334277121 has 63 divisors (see below), whose sum is σ = 367149784113. Its totient is φ = 157249061640.

The previous prime is 240334277119. The next prime is 240334277129. The reversal of 240334277121 is 121772433042.

The square root of 240334277121 is 490239.

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

240334277121 is a `hidden beast` number, since 2 + 40 + 334 + 277 + 12 + 1 = 666.

It is not a de Polignac number, because 240334277121 - 2¹ = 240334277119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240334277129) 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, 886842216 + ... + 886842486.

It is an arithmetic number, because the mean of its divisors is an integer number (5827774351).

Almost surely, 2^240334277121 is an apocalyptic number.

240334277121 is the 490239-th square number.

240334277121 is the 245120-th centered octagonal number.

It is an amenable number.

240334277121 is a deficient number, since it is larger than the sum of its proper divisors (126815506992).

240334277121 is an frugal number, since it uses more digits than its factorization.

240334277121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Multiplying 240334277121 by its sum of digits (36), we get a square (8652033976356 = 2941434²).

The spelling of 240334277121 in words is "two hundred forty billion, three hundred thirty-four million, two hundred seventy-seven thousand, one hundred twenty-one".