1140200280648 has 512 divisors, whose sum is σ = 3947459443200. Its totient is φ = 299593728000.

The previous prime is 1140200280629. The next prime is 1140200280721. The reversal of 1140200280648 is 8460820020411.

1140200280648 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 0 + 0 + 2 + 8 + 0 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315580890 + ... + 315584502.

It is an arithmetic number, because the mean of its divisors is an integer number (7709881725).

Almost surely, 2^{1140200280648} is an apocalyptic number.

1140200280648 is a gapful number since it is divisible by the number (18) 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 1140200280648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973729721600).

1140200280648 is an abundant number, since it is smaller than the sum of its proper divisors (2807259162552).

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

1140200280648 is a wasteful number, since it uses less digits than its factorization.

1140200280648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1140200280648 in words is "one trillion, one hundred forty billion, two hundred million, two hundred eighty thousand, six hundred forty-eight".