240133313023400 has 48 divisors (see below), whose sum is σ = 558312235847100. Its totient is φ = 96052932423680.

The previous prime is 240133313023399. The next prime is 240133313023403. The reversal of 240133313023400 is 4320313331042.

It can be written as a sum of positive squares in 6 ways, for example, as 108180260148676 + 131953052874724 = 10400974^2 + 11487082^2 .

It is not an unprimeable number, because it can be changed into a prime (240133313023403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49296746 + ... + 53948454.

Almost surely, 2^{240133313023400} is an apocalyptic number.

240133313023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240133313023400 is an abundant number, since it is smaller than the sum of its proper divisors (318178922823700).

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

240133313023400 is a wasteful number, since it uses less digits than its factorization.

240133313023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909838 (or 4909829 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 240133313023400 its reverse (4320313331042), we get a palindrome (244453626354442).

The spelling of 240133313023400 in words is "two hundred forty trillion, one hundred thirty-three billion, three hundred thirteen million, twenty-three thousand, four hundred".