1140618008800 has 72 divisors (see below), whose sum is σ = 2787345473472. Its totient is φ = 455786496000.

The previous prime is 1140618008773. The next prime is 1140618008821. The reversal of 1140618008800 is 88008160411.

It is a self number, because there is not a number n which added to its sum of digits gives 1140618008800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73440 + ... + 1512160.

It is an arithmetic number, because the mean of its divisors is an integer number (38713131576).

Almost surely, 2^{1140618008800} is an apocalyptic number.

1140618008800 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 1140618008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393672736736).

1140618008800 is an abundant number, since it is smaller than the sum of its proper divisors (1646727464672).

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

1140618008800 is a wasteful number, since it uses less digits than its factorization.

1140618008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439732 (or 1439719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 1140618008800 in words is "one trillion, one hundred forty billion, six hundred eighteen million, eight thousand, eight hundred".