40100112 has 120 divisors (see below), whose sum is σ = 124936448. Its totient is φ = 11923200.

The previous prime is 40100087. The next prime is 40100113. The reversal of 40100112 is 21100104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 40100094 and 40100103.

It is not an unprimeable number, because it can be changed into a prime (40100113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57687 + ... + 58377.

Almost surely, 2^40100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62468224).

40100112 is an abundant number, since it is smaller than the sum of its proper divisors (84836336).

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

40100112 is a wasteful number, since it uses less digits than its factorization.

40100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 40100112 is about 6332.4649229190. The cubic root of 40100112 is about 342.2802668234.

Adding to 40100112 its reverse (21100104), we get a palindrome (61200216).

The spelling of 40100112 in words is "forty million, one hundred thousand, one hundred twelve".