110129268240 has 480 divisors, whose sum is σ = 396526620672. Its totient is φ = 27343872000.

The previous prime is 110129268191. The next prime is 110129268241. The reversal of 110129268240 is 42862921011.

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 = 110129268195 and 110129268204.

It is not an unprimeable number, because it can be changed into a prime (110129268241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63990580 + ... + 63992300.

Almost surely, 2^110129268240 is an apocalyptic number.

110129268240 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 110129268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198263310336).

110129268240 is an abundant number, since it is smaller than the sum of its proper divisors (286397352432).

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

110129268240 is a wasteful number, since it uses less digits than its factorization.

110129268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 110129268240 in words is "one hundred ten billion, one hundred twenty-nine million, two hundred sixty-eight thousand, two hundred forty".