240252034122352 has 320 divisors, whose sum is σ = 554282786488320. Its totient is φ = 98770260556800.

The previous prime is 240252034122343. The next prime is 240252034122377. The reversal of 240252034122352 is 253221430252042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21376632349 + ... + 21376643587.

It is an arithmetic number, because the mean of its divisors is an integer number (1732133707776).

Almost surely, 2^{240252034122352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240252034122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277141393244160).

240252034122352 is an abundant number, since it is smaller than the sum of its proper divisors (314030752365968).

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

240252034122352 is a wasteful number, since it uses less digits than its factorization.

240252034122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11860 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 240252034122352 its reverse (253221430252042), we get a palindrome (493473464374394).

The spelling of 240252034122352 in words is "two hundred forty trillion, two hundred fifty-two billion, thirty-four million, one hundred twenty-two thousand, three hundred fifty-two".