1140034133120 has 512 divisors, whose sum is σ = 3183394867200. Its totient is φ = 387240099840.

The previous prime is 1140034133087. The next prime is 1140034133123. The reversal of 1140034133120 is 213314300411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1140034133123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1649831975 + ... + 1649832665.

It is an arithmetic number, because the mean of its divisors is an integer number (6217568100).

Almost surely, 2^{1140034133120} is an apocalyptic number.

1140034133120 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 1140034133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591697433600).

1140034133120 is an abundant number, since it is smaller than the sum of its proper divisors (2043360734080).

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

1140034133120 is a wasteful number, since it uses less digits than its factorization.

1140034133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1140034133120 its reverse (213314300411), we get a palindrome (1353348433531).

The spelling of 1140034133120 in words is "one trillion, one hundred forty billion, thirty-four million, one hundred thirty-three thousand, one hundred twenty".