1044412144400 has 30 divisors (see below), whose sum is σ = 2509200177882. Its totient is φ = 417764857600.

The previous prime is 1044412144339. The next prime is 1044412144423. The reversal of 1044412144400 is 44412144401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39221425936 + 1005190718464 = 198044^2 + 1002592^2 .

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 5 ways as a sum of consecutive naturals, for example, 1305514781 + ... + 1305515580.

Almost surely, 2^{1044412144400} is an apocalyptic number.

1044412144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044412144400 is an abundant number, since it is smaller than the sum of its proper divisors (1464788033482).

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

1044412144400 is a wasteful number, since it uses less digits than its factorization.

1044412144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611030379 (or 2611030368 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 1044412144400 its reverse (44412144401), we get a palindrome (1088824288801).

Subtracting from 1044412144400 its reverse (44412144401), we obtain a palindrome (999999999999).

The spelling of 1044412144400 in words is "one trillion, forty-four billion, four hundred twelve million, one hundred forty-four thousand, four hundred".