1140082974720 has 448 divisors, whose sum is σ = 4078313245440. Its totient is φ = 302152679424.

The previous prime is 1140082974707. The next prime is 1140082974757. The reversal of 1140082974720 is 274792800411.

1140082974720 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 82 + 97 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 184685554 + ... + 184691726.

It is an arithmetic number, because the mean of its divisors is an integer number (9103377780).

Almost surely, 2^{1140082974720} is an apocalyptic number.

1140082974720 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 1140082974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039156622720).

1140082974720 is an abundant number, since it is smaller than the sum of its proper divisors (2938230270720).

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

1140082974720 is an equidigital number, since it uses as much as digits as its factorization.

1140082974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1140082974720 in words is "one trillion, one hundred forty billion, eighty-two million, nine hundred seventy-four thousand, seven hundred twenty".