1144331430000 has 400 divisors, whose sum is σ = 4241999625600. Its totient is φ = 262811520000.

The previous prime is 1144331429977. The next prime is 1144331430037. The reversal of 1144331430000 is 341334411.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6178746 + ... + 6361254.

It is an arithmetic number, because the mean of its divisors is an integer number (10604999064).

Almost surely, 2^{1144331430000} is an apocalyptic number.

1144331430000 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 1144331430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120999812800).

1144331430000 is an abundant number, since it is smaller than the sum of its proper divisors (3097668195600).

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

1144331430000 is a wasteful number, since it uses less digits than its factorization.

1144331430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182570 (or 182549 counting only the distinct ones).

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

Adding to 1144331430000 its reverse (341334411), we get a palindrome (1144672764411).

The spelling of 1144331430000 in words is "one trillion, one hundred forty-four billion, three hundred thirty-one million, four hundred thirty thousand".