240045230052160 has 168 divisors, whose sum is σ = 618993378261720. Its totient is φ = 88627279822848.

The previous prime is 240045230052143. The next prime is 240045230052233. The reversal of 240045230052160 is 61250032540042.

It can be written as a sum of positive squares in 12 ways, for example, as 48029446187584 + 192015783864576 = 6930328^2 + 13856976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088466064 + ... + 1088686576.

It is an arithmetic number, because the mean of its divisors is an integer number (3684484394415).

Almost surely, 2^{240045230052160} is an apocalyptic number.

240045230052160 is a gapful number since it is divisible by the number (20) 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 240045230052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309496689130860).

240045230052160 is an abundant number, since it is smaller than the sum of its proper divisors (378948148209560).

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

240045230052160 is a wasteful number, since it uses less digits than its factorization.

240045230052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240685 (or 240662 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 240045230052160 in words is "two hundred forty trillion, forty-five billion, two hundred thirty million, fifty-two thousand, one hundred sixty".