110097740413440 has 960 divisors, whose sum is σ = 425054416026240. Its totient is φ = 26150171443200.

The previous prime is 110097740413433. The next prime is 110097740413471. The reversal of 110097740413440 is 44314047790011.

110097740413440 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 9 + 77 + 404 + 134 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 19482874615 + ... + 19482880265.

It is an arithmetic number, because the mean of its divisors is an integer number (442765016694).

Almost surely, 2^{110097740413440} is an apocalyptic number.

110097740413440 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 110097740413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212527208013120).

110097740413440 is an abundant number, since it is smaller than the sum of its proper divisors (314956675612800).

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

110097740413440 is a wasteful number, since it uses less digits than its factorization.

110097740413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 110097740413440 in words is "one hundred ten trillion, ninety-seven billion, seven hundred forty million, four hundred thirteen thousand, four hundred forty".