240908829052644 has 135 divisors (see below), whose sum is σ = 669021711110137. Its totient is φ = 75577750448256.

The previous prime is 240908829052631. The next prime is 240908829052649. The reversal of 240908829052644 is 446250928809042.

The square root of 240908829052644 is 15521238.

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

240908829052644 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 0 + 88 + 29 + 0 + 526 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187558776944100 + 53350052108544 = 13695210^2 + 7304112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240908829052649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4749473467 + ... + 4749524189.

Almost surely, 2^{240908829052644} is an apocalyptic number.

240908829052644 is the 15521238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240908829052644

240908829052644 is an abundant number, since it is smaller than the sum of its proper divisors (428112882057493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240908829052644 is an frugal number, since it uses more digits than its factorization.

240908829052644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101496 (or 50745 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 240908829052644 in words is "two hundred forty trillion, nine hundred eight billion, eight hundred twenty-nine million, fifty-two thousand, six hundred forty-four".