240323442114320 has 20 divisors (see below), whose sum is σ = 558752002915980. Its totient is φ = 96129376845696.

The previous prime is 240323442114269. The next prime is 240323442114323. The reversal of 240323442114320 is 23411244323042.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124788202506496 + 115535239607824 = 11170864^2 + 10748732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (240323442114323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1502021513135 + ... + 1502021513294.

It is an arithmetic number, because the mean of its divisors is an integer number (27937600145799).

Almost surely, 2^{240323442114320} is an apocalyptic number.

240323442114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240323442114320 is an abundant number, since it is smaller than the sum of its proper divisors (318428560801660).

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

240323442114320 is a wasteful number, since it uses less digits than its factorization.

240323442114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004043026442 (or 3004043026436 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 240323442114320 its reverse (23411244323042), we get a palindrome (263734686437362).

The spelling of 240323442114320 in words is "two hundred forty trillion, three hundred twenty-three billion, four hundred forty-two million, one hundred fourteen thousand, three hundred twenty".