1144883414400 has 576 divisors, whose sum is σ = 4388834877840. Its totient is φ = 261216665600.

The previous prime is 1144883414377. The next prime is 1144883414443. The reversal of 1144883414400 is 44143884411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19718212 + ... + 19776188.

Almost surely, 2^{1144883414400} is an apocalyptic number.

1144883414400 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 1144883414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194417438920).

1144883414400 is an abundant number, since it is smaller than the sum of its proper divisors (3243951463440).

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

1144883414400 is a wasteful number, since it uses less digits than its factorization.

1144883414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58043 (or 58015 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 1144883414400 in words is "one trillion, one hundred forty-four billion, eight hundred eighty-three million, four hundred fourteen thousand, four hundred".