1140234023040 has 256 divisors, whose sum is σ = 4158701568000. Its totient is φ = 260311707648.

The previous prime is 1140234023021. The next prime is 1140234023053. The reversal of 1140234023040 is 403204320411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1140234023040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11225601 + ... + 11326719.

It is an arithmetic number, because the mean of its divisors is an integer number (16244928000).

Almost surely, 2^{1140234023040} is an apocalyptic number.

1140234023040 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 1140234023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079350784000).

1140234023040 is an abundant number, since it is smaller than the sum of its proper divisors (3018467544960).

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

1140234023040 is a wasteful number, since it uses less digits than its factorization.

1140234023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101987 (or 101975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1140234023040 its reverse (403204320411), we get a palindrome (1543438343451).

The spelling of 1140234023040 in words is "one trillion, one hundred forty billion, two hundred thirty-four million, twenty-three thousand, forty".