10110142240 has 96 divisors (see below), whose sum is σ = 26094700800. Its totient is φ = 3671040000.

The previous prime is 10110142187. The next prime is 10110142249. The reversal of 10110142240 is 4224101101.

It is a happy number.

It is a super-2 number, since 2×10110142240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10110142249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317936 + ... + 1325584.

It is an arithmetic number, because the mean of its divisors is an integer number (271819800).

Almost surely, 2^10110142240 is an apocalyptic number.

10110142240 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 10110142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047350400).

10110142240 is an abundant number, since it is smaller than the sum of its proper divisors (15984558560).

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

10110142240 is a wasteful number, since it uses less digits than its factorization.

10110142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10110142240 its reverse (4224101101), we get a palindrome (14334243341).

It can be divided in two parts, 101101 and 42240, that added together give a palindrome (143341).

The spelling of 10110142240 in words is "ten billion, one hundred ten million, one hundred forty-two thousand, two hundred forty".