240152989104 has 160 divisors (see below), whose sum is σ = 788413824000. Its totient is φ = 68561980416.

The previous prime is 240152989073. The next prime is 240152989121. The reversal of 240152989104 is 401989251042.

It is a happy number.

240152989104 is a `hidden beast` number, since 2 + 40 + 1 + 529 + 89 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 240152989104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3958552 + ... + 4018760.

It is an arithmetic number, because the mean of its divisors is an integer number (4927586400).

Almost surely, 2^240152989104 is an apocalyptic number.

240152989104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240152989104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394206912000).

240152989104 is an abundant number, since it is smaller than the sum of its proper divisors (548260834896).

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

240152989104 is a wasteful number, since it uses less digits than its factorization.

240152989104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61552 (or 61540 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 240152989104 in words is "two hundred forty billion, one hundred fifty-two million, nine hundred eighty-nine thousand, one hundred four".