1941768827136 has 360 divisors, whose sum is σ = 5950987909944. Its totient is φ = 629365800960.

The previous prime is 1941768827123. The next prime is 1941768827179. The reversal of 1941768827136 is 6317288671491.

1941768827136 is a `hidden beast` number, since 1 + 9 + 417 + 6 + 8 + 82 + 7 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196199387136 + 1745569440000 = 442944^2 + 1321200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266101440 + ... + 266108736.

Almost surely, 2^{1941768827136} is an apocalyptic number.

1941768827136 is a gapful number since it is divisible by the number (16) 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 1941768827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975493954972).

1941768827136 is an abundant number, since it is smaller than the sum of its proper divisors (4009219082808).

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

1941768827136 is an equidigital number, since it uses as much as digits as its factorization.

1941768827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7656 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 1941768827136 in words is "one trillion, nine hundred forty-one billion, seven hundred sixty-eight million, eight hundred twenty-seven thousand, one hundred thirty-six".