40631904 has 144 divisors (see below), whose sum is σ = 125837712. Its totient is φ = 12386304.

The previous prime is 40631893. The next prime is 40631909. The reversal of 40631904 is 40913604.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40631909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210432 + ... + 210624.

It is an arithmetic number, because the mean of its divisors is an integer number (873873).

Almost surely, 2^40631904 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 40631904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62918856).

40631904 is an abundant number, since it is smaller than the sum of its proper divisors (85205808).

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

40631904 is a wasteful number, since it uses less digits than its factorization.

40631904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40631904 is about 6374.3159633015. The cubic root of 40631904 is about 343.7866894613.

The spelling of 40631904 in words is "forty million, six hundred thirty-one thousand, nine hundred four".