240381342369 has 81 divisors (see below), whose sum is σ = 415776397491. Its totient is φ = 133436509920.

The previous prime is 240381342359. The next prime is 240381342379. The reversal of 240381342369 is 963243183042.

The square root of 240381342369 is 490287.

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

240381342369 is a `hidden beast` number, since 2 + 4 + 0 + 381 + 34 + 236 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (240381342359) and next prime (240381342379).

It can be written as a sum of positive squares in only one way, i.e., 215096526225 + 25284816144 = 463785^2 + 159012^2 .

It is not a de Polignac number, because 240381342369 - 2⁷ = 240381342241 is a prime.

It is a super-2 number, since 2×240381342369² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240381342359) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 380952684 + ... + 380953314.

Almost surely, 2^240381342369 is an apocalyptic number.

240381342369 is the 490287-th square number.

240381342369 is the 245144-th centered octagonal number.

It is an amenable number.

240381342369 is a deficient number, since it is larger than the sum of its proper divisors (175395055122).

240381342369 is an frugal number, since it uses more digits than its factorization.

240381342369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 240381342369 in words is "two hundred forty billion, three hundred eighty-one million, three hundred forty-two thousand, three hundred sixty-nine".