40864100 has 72 divisors (see below), whose sum is σ = 93952320. Its totient is φ = 15396480.

The previous prime is 40864091. The next prime is 40864127. The reversal of 40864100 is 146804.

It is a happy number.

40864100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 250619 + ... + 250781.

Almost surely, 2^40864100 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 40864100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46976160).

40864100 is an abundant number, since it is smaller than the sum of its proper divisors (53088220).

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

40864100 is a wasteful number, since it uses less digits than its factorization.

40864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40864100 is about 6392.5034219780. The cubic root of 40864100 is about 344.4403163648.

The spelling of 40864100 in words is "forty million, eight hundred sixty-four thousand, one hundred".