1099981440000 has 1485 divisors, whose sum is σ = 4378872861363. Its totient is φ = 265807872000.

The previous prime is 1099981439971. The next prime is 1099981440001. The reversal of 1099981440000 is 441899901.

The square root of 1099981440000 is 1048800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 86238544896 + 1013742895104 = 293664^2 + 1006848^2 .

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 (1099981440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47825279989 + ... + 47825280011.

Almost surely, 2^{1099981440000} is an apocalyptic number.

1099981440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1099981440000 is the 1048800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099981440000

1099981440000 is an abundant number, since it is smaller than the sum of its proper divisors (3278891421363).

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

1099981440000 is an equidigital number, since it uses as much as digits as its factorization.

1099981440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1099981440000 in words is "one trillion, ninety-nine billion, nine hundred eighty-one million, four hundred forty thousand".