1144334013000 has 128 divisors (see below), whose sum is σ = 3586052545920. Its totient is φ = 303811257600.

The previous prime is 1144334012891. The next prime is 1144334013019. The reversal of 1144334013000 is 3104334411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159187 + ... + 1521186.

It is an arithmetic number, because the mean of its divisors is an integer number (28016035515).

Almost surely, 2^{1144334013000} is an apocalyptic number.

1144334013000 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 1144334013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793026272960).

1144334013000 is an abundant number, since it is smaller than the sum of its proper divisors (2441718532920).

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

1144334013000 is a wasteful number, since it uses less digits than its factorization.

1144334013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680624 (or 1680610 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1144334013000 its reverse (3104334411), we get a palindrome (1147438347411).

The spelling of 1144334013000 in words is "one trillion, one hundred forty-four billion, three hundred thirty-four million, thirteen thousand".