110141113140240 has 480 divisors, whose sum is σ = 422693573665536. Its totient is φ = 23230100275200.

The previous prime is 110141113140211. The next prime is 110141113140263. The reversal of 110141113140240 is 42041311141011.

It is a happy number.

It is a super-2 number, since 2×110141113140240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110141113140240.

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, 795190672 + ... + 795329168.

Almost surely, 2^{110141113140240} is an apocalyptic number.

110141113140240 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 110141113140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211346786832768).

110141113140240 is an abundant number, since it is smaller than the sum of its proper divisors (312552460525296).

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

110141113140240 is a wasteful number, since it uses less digits than its factorization.

110141113140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141347 (or 141328 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 110141113140240 its reverse (42041311141011), we get a palindrome (152182424281251).

The spelling of 110141113140240 in words is "one hundred ten trillion, one hundred forty-one billion, one hundred thirteen million, one hundred forty thousand, two hundred forty".