1144401014000 has 160 divisors (see below), whose sum is σ = 2782106308800. Its totient is φ = 455295360000.

The previous prime is 1144401013997. The next prime is 1144401014017. The reversal of 1144401014000 is 4101044411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309212150 + ... + 309215850.

It is an arithmetic number, because the mean of its divisors is an integer number (17388164430).

Almost surely, 2^{1144401014000} is an apocalyptic number.

1144401014000 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 1144401014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391053154400).

1144401014000 is an abundant number, since it is smaller than the sum of its proper divisors (1637705294800).

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

1144401014000 is a wasteful number, since it uses less digits than its factorization.

1144401014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1144401014000 its reverse (4101044411), we get a palindrome (1148502058411).

The spelling of 1144401014000 in words is "one trillion, one hundred forty-four billion, four hundred one million, fourteen thousand".