1140362815680 has 1680 divisors, whose sum is σ = 4741903127808. Its totient is φ = 259482009600.

The previous prime is 1140362815679. The next prime is 1140362815687. The reversal of 1140362815680 is 865182630411.

1140362815680 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 6 + 2 + 81 + 568 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1140362815687) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3597358882 + ... + 3597359198.

Almost surely, 2^{1140362815680} is an apocalyptic number.

1140362815680 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 1140362815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370951563904).

1140362815680 is an abundant number, since it is smaller than the sum of its proper divisors (3601540312128).

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

1140362815680 is a wasteful number, since it uses less digits than its factorization.

1140362815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1140362815680 in words is "one trillion, one hundred forty billion, three hundred sixty-two million, eight hundred fifteen thousand, six hundred eighty".