1110132291744 has 216 divisors, whose sum is σ = 3673922222880. Its totient is φ = 317045498112.

The previous prime is 1110132291673. The next prime is 1110132291773. The reversal of 1110132291744 is 4471922310111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110132291699 and 1110132291708.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35814877 + ... + 35845859.

It is an arithmetic number, because the mean of its divisors is an integer number (17008899180).

Almost surely, 2^{1110132291744} is an apocalyptic number.

1110132291744 is a gapful number since it is divisible by the number (14) 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 1110132291744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836961111440).

1110132291744 is an abundant number, since it is smaller than the sum of its proper divisors (2563789931136).

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

1110132291744 is a wasteful number, since it uses less digits than its factorization.

1110132291744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33552 (or 33534 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1110132291744 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, two hundred ninety-one thousand, seven hundred forty-four".