1140244434120 has 256 divisors, whose sum is σ = 3883939061760. Its totient is φ = 267504864000.

The previous prime is 1140244434113. The next prime is 1140244434157. The reversal of 1140244434120 is 214344420411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4836175 + ... + 5066465.

It is an arithmetic number, because the mean of its divisors is an integer number (15171636960).

Almost surely, 2^{1140244434120} is an apocalyptic number.

1140244434120 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 1140244434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941969530880).

1140244434120 is an abundant number, since it is smaller than the sum of its proper divisors (2743694627640).

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

1140244434120 is a wasteful number, since it uses less digits than its factorization.

1140244434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230369 (or 230343 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1140244434120 its reverse (214344420411), we get a palindrome (1354588854531).

The spelling of 1140244434120 in words is "one trillion, one hundred forty billion, two hundred forty-four million, four hundred thirty-four thousand, one hundred twenty".