40032100 has 18 divisors (see below), whose sum is σ = 86869874. Its totient is φ = 16012800.

The previous prime is 40032079. The next prime is 40032101. The reversal of 40032100 is 123004.

40032100 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 3 ways, for example, as 1790244 + 38241856 = 1338^2 + 6184^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 200061 + ... + 200260.

Almost surely, 2^40032100 is an apocalyptic number.

It is an amenable number.

40032100 is an abundant number, since it is smaller than the sum of its proper divisors (46837774).

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

40032100 is a wasteful number, since it uses less digits than its factorization.

40032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400335 (or 400328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40032100 is about 6327.0925392316. The cubic root of 40032100 is about 342.0866485875.

Adding to 40032100 its reverse (123004), we get a palindrome (40155104).

The spelling of 40032100 in words is "forty million, thirty-two thousand, one hundred".