1144401004120 has 128 divisors (see below), whose sum is σ = 2883507517440. Its totient is φ = 405167293440.

The previous prime is 1144401004073. The next prime is 1144401004127. The reversal of 1144401004120 is 214001044411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1144401004091 and 1144401004100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144401004127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5825337 + ... + 6018583.

It is an arithmetic number, because the mean of its divisors is an integer number (22527402480).

Almost surely, 2^{1144401004120} is an apocalyptic number.

1144401004120 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 1144401004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441753758720).

1144401004120 is an abundant number, since it is smaller than the sum of its proper divisors (1739106513320).

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

1144401004120 is a wasteful number, since it uses less digits than its factorization.

1144401004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193625 (or 193621 counting only the distinct ones).

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

Adding to 1144401004120 its reverse (214001044411), we get a palindrome (1358402048531).

The spelling of 1144401004120 in words is "one trillion, one hundred forty-four billion, four hundred one million, four thousand, one hundred twenty".