4000244202400 has 72 divisors (see below), whose sum is σ = 9768447490284. Its totient is φ = 1599630489600.

The previous prime is 4000244202397. The next prime is 4000244202433. The reversal of 4000244202400 is 42024420004.

It can be written as a sum of positive squares in 6 ways, for example, as 611655383056 + 3388588819344 = 782084^2 + 1840812^2 .

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 11 ways as a sum of consecutive naturals, for example, 2018130 + ... + 3474670.

Almost surely, 2^{4000244202400} is an apocalyptic number.

4000244202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000244202400 is an abundant number, since it is smaller than the sum of its proper divisors (5768203287884).

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

4000244202400 is a wasteful number, since it uses less digits than its factorization.

4000244202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459994 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4000244202400 its reverse (42024420004), we get a palindrome (4042268622404).

The spelling of 4000244202400 in words is "four trillion, two hundred forty-four million, two hundred two thousand, four hundred".