110720010240 has 768 divisors, whose sum is σ = 473630976000. Its totient is φ = 23967498240.

The previous prime is 110720010217. The next prime is 110720010341. The reversal of 110720010240 is 42010027011.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36770335 + ... + 36773345.

It is an arithmetic number, because the mean of its divisors is an integer number (616707000).

Almost surely, 2^110720010240 is an apocalyptic number.

110720010240 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 110720010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236815488000).

110720010240 is an abundant number, since it is smaller than the sum of its proper divisors (362910965760).

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

110720010240 is a wasteful number, since it uses less digits than its factorization.

110720010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 110720010240 its reverse (42010027011), we get a palindrome (152730037251).

The spelling of 110720010240 in words is "one hundred ten billion, seven hundred twenty million, ten thousand, two hundred forty".