11441142400 has 48 divisors (see below), whose sum is σ = 28263204990. Its totient is φ = 4576455680.

The previous prime is 11441142389. The next prime is 11441142431. The reversal of 11441142400 is 424114411.

11441142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9668395584 + 1772746816 = 98328^2 + 42104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1784479 + ... + 1790878.

Almost surely, 2^11441142400 is an apocalyptic number.

11441142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441142400 is an abundant number, since it is smaller than the sum of its proper divisors (16822062590).

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

11441142400 is an equidigital number, since it uses as much as digits as its factorization.

11441142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575381 (or 3575364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11441142400 its reverse (424114411), we get a palindrome (11865256811).

The spelling of 11441142400 in words is "eleven billion, four hundred forty-one million, one hundred forty-two thousand, four hundred".