1144413002200 has 192 divisors, whose sum is σ = 2878272028800. Its totient is φ = 420664320000.

The previous prime is 1144413002197. The next prime is 1144413002279. The reversal of 1144413002200 is 22003144411.

It is a happy number.

It is a super-2 number, since 2×1144413002200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798612684 + ... + 798614116.

It is an arithmetic number, because the mean of its divisors is an integer number (14991000150).

Almost surely, 2^{1144413002200} is an apocalyptic number.

1144413002200 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 1144413002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439136014400).

1144413002200 is an abundant number, since it is smaller than the sum of its proper divisors (1733859026600).

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

1144413002200 is a wasteful number, since it uses less digits than its factorization.

1144413002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1144413002200 its reverse (22003144411), we get a palindrome (1166416146611).

The spelling of 1144413002200 in words is "one trillion, one hundred forty-four billion, four hundred thirteen million, two thousand, two hundred".