1140002137800 has 192 divisors, whose sum is σ = 3927844137600. Its totient is φ = 303909984000.

The previous prime is 1140002137787. The next prime is 1140002137801. The reversal of 1140002137800 is 87312000411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1140002137801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19178125 + ... + 19237475.

It is an arithmetic number, because the mean of its divisors is an integer number (20457521550).

Almost surely, 2^{1140002137800} is an apocalyptic number.

1140002137800 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 1140002137800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963922068800).

1140002137800 is an abundant number, since it is smaller than the sum of its proper divisors (2787841999800).

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

1140002137800 is a wasteful number, since it uses less digits than its factorization.

1140002137800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62933 (or 62918 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1140002137800 in words is "one trillion, one hundred forty billion, two million, one hundred thirty-seven thousand, eight hundred".