1162883840040 has 384 divisors, whose sum is σ = 4217833620000. Its totient is φ = 275892535296.

The previous prime is 1162883840021. The next prime is 1162883840051. The reversal of 1162883840040 is 400483882611.

1162883840040 is a `hidden beast` number, since 1 + 162 + 8 + 83 + 8 + 400 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 298240500996 + 864643339044 = 546114^2 + 929862^2 .

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 95 ways as a sum of consecutive naturals, for example, 80474736 + ... + 80489184.

Almost surely, 2^{1162883840040} is an apocalyptic number.

1162883840040 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 1162883840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108916810000).

1162883840040 is an abundant number, since it is smaller than the sum of its proper divisors (3054949779960).

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

1162883840040 is a wasteful number, since it uses less digits than its factorization.

1162883840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15101 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1162883840040 in words is "one trillion, one hundred sixty-two billion, eight hundred eighty-three million, eight hundred forty thousand, forty".