1110044401000 has 128 divisors (see below), whose sum is σ = 2630802564000. Its totient is φ = 438341376000.

The previous prime is 1110044400991. The next prime is 1110044401001. The reversal of 1110044401000 is 1044400111.

It can be written as a sum of positive squares in 16 ways, for example, as 10679568964 + 1099364832036 = 103342^2 + 1048506^2 .

It is not an unprimeable number, because it can be changed into a prime (1110044401001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58819566 + ... + 58838434.

Almost surely, 2^{1110044401000} is an apocalyptic number.

1110044401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110044401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315401282000).

1110044401000 is an abundant number, since it is smaller than the sum of its proper divisors (1520758163000).

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

1110044401000 is a wasteful number, since it uses less digits than its factorization.

1110044401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19640 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1110044401000 its reverse (1044400111), we get a palindrome (1111088801111).

The spelling of 1110044401000 in words is "one trillion, one hundred ten billion, forty-four million, four hundred one thousand".