240668736400 has 135 divisors (see below), whose sum is σ = 610713302193. Its totient is φ = 91130140800.

The previous prime is 240668736383. The next prime is 240668736401. The reversal of 240668736400 is 4637866042.

The square root of 240668736400 is 490580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86640745104 + 154027991296 = 294348^2 + 392464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240668736401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186419755 + ... + 186421045.

Almost surely, 2^240668736400 is an apocalyptic number.

240668736400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240668736400 is the 490580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240668736400

240668736400 is an abundant number, since it is smaller than the sum of its proper divisors (370044565793).

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

240668736400 is an equidigital number, since it uses as much as digits as its factorization.

240668736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 240668736400 in words is "two hundred forty billion, six hundred sixty-eight million, seven hundred thirty-six thousand, four hundred".