1144012134400 has 144 divisors (see below), whose sum is σ = 2839063991400. Its totient is φ = 457184378880.

The previous prime is 1144012134389. The next prime is 1144012134413. The reversal of 1144012134400 is 44312104411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59023911 + ... + 59043289.

Almost surely, 2^{1144012134400} is an apocalyptic number.

1144012134400 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 1144012134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419531995700).

1144012134400 is an abundant number, since it is smaller than the sum of its proper divisors (1695051857000).

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

1144012134400 is a wasteful number, since it uses less digits than its factorization.

1144012134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20564 (or 20539 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1144012134400 its reverse (44312104411), we get a palindrome (1188324238811).

The spelling of 1144012134400 in words is "one trillion, one hundred forty-four billion, twelve million, one hundred thirty-four thousand, four hundred".