1144012034000 has 320 divisors, whose sum is σ = 3119978594304. Its totient is φ = 401947200000.

The previous prime is 1144012033981. The next prime is 1144012034003. The reversal of 1144012034000 is 4302104411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144012034003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703141187 + ... + 703142813.

Almost surely, 2^{1144012034000} is an apocalyptic number.

1144012034000 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 1144012034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559989297152).

1144012034000 is an abundant number, since it is smaller than the sum of its proper divisors (1975966560304).

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

1144012034000 is a wasteful number, since it uses less digits than its factorization.

1144012034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1144012034000 its reverse (4302104411), we get a palindrome (1148314138411).

The spelling of 1144012034000 in words is "one trillion, one hundred forty-four billion, twelve million, thirty-four thousand".