40004664 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 11368704.

The previous prime is 40004651. The next prime is 40004669. The reversal of 40004664 is 46640004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40004669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37612 + ... + 38660.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^40004664 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 40004664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

40004664 is an abundant number, since it is smaller than the sum of its proper divisors (74907336).

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

40004664 is a wasteful number, since it uses less digits than its factorization.

40004664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40004664 is about 6324.9240311643. The cubic root of 40004664 is about 342.0084810318.

Adding to 40004664 its reverse (46640004), we get a palindrome (86644668).

The spelling of 40004664 in words is "forty million, four thousand, six hundred sixty-four".