40112003100 has 144 divisors (see below), whose sum is σ = 125123991552. Its totient is φ = 9862736640.

The previous prime is 40112003077. The next prime is 40112003101. The reversal of 40112003100 is 130021104.

It is a happy number.

It is a super-2 number, since 2×40112003100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3828469 + ... + 3838931.

It is an arithmetic number, because the mean of its divisors is an integer number (868916608).

Almost surely, 2^40112003100 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 40112003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62561995776).

40112003100 is an abundant number, since it is smaller than the sum of its proper divisors (85011988452).

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

40112003100 is a wasteful number, since it uses less digits than its factorization.

40112003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 40112003100 its reverse (130021104), we get a palindrome (40242024204).

The spelling of 40112003100 in words is "forty billion, one hundred twelve million, three thousand, one hundred".