40040100 has 108 divisors (see below), whose sum is σ = 132936804. Its totient is φ = 10045440.

The previous prime is 40040093. The next prime is 40040111. The reversal of 40040100 is 104004.

40040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3968064 + 36072036 = 1992^2 + 6006^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13992 + ... + 16608.

Almost surely, 2^40040100 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 40040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66468402).

40040100 is an abundant number, since it is smaller than the sum of its proper divisors (92896704).

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

40040100 is a wasteful number, since it uses less digits than its factorization.

40040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40040100 is about 6327.7247095619. The cubic root of 40040100 is about 342.1094345593.

Adding to 40040100 its reverse (104004), we get a palindrome (40144104).

The spelling of 40040100 in words is "forty million, forty thousand, one hundred".