10112440140 has 336 divisors, whose sum is σ = 36787232160. Its totient is φ = 2306672640.

The previous prime is 10112440139. The next prime is 10112440189. The reversal of 10112440140 is 4104421101.

10112440140 is a `hidden beast` number, since 101 + 124 + 401 + 40 = 666.

It is a super-2 number, since 2×10112440140² (a number of 21 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 2724606 + ... + 2728314.

It is an arithmetic number, because the mean of its divisors is an integer number (109485810).

Almost surely, 2^10112440140 is an apocalyptic number.

10112440140 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 10112440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393616080).

10112440140 is an abundant number, since it is smaller than the sum of its proper divisors (26674792020).

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

10112440140 is a wasteful number, since it uses less digits than its factorization.

10112440140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10112440140 its reverse (4104421101), we get a palindrome (14216861241).

The spelling of 10112440140 in words is "ten billion, one hundred twelve million, four hundred forty thousand, one hundred forty".