240261413160 has 128 divisors (see below), whose sum is σ = 729198288000. Its totient is φ = 63322423296.

The previous prime is 240261413153. The next prime is 240261413201. The reversal of 240261413160 is 61314162042.

240261413160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40356744 + ... + 40362696.

It is an arithmetic number, because the mean of its divisors is an integer number (5696861625).

Almost surely, 2^240261413160 is an apocalyptic number.

240261413160 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 240261413160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364599144000).

240261413160 is an abundant number, since it is smaller than the sum of its proper divisors (488936874840).

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

240261413160 is a wasteful number, since it uses less digits than its factorization.

240261413160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 240261413160 in words is "two hundred forty billion, two hundred sixty-one million, four hundred thirteen thousand, one hundred sixty".