40523904 has 96 divisors (see below), whose sum is σ = 120732300. Its totient is φ = 13031424.

The previous prime is 40523893. The next prime is 40523929. The reversal of 40523904 is 40932504.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 3069504 = 6120^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32802 + ... + 34014.

Almost surely, 2^40523904 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 40523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60366150).

40523904 is an abundant number, since it is smaller than the sum of its proper divisors (80208396).

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

40523904 is a wasteful number, since it uses less digits than its factorization.

40523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40523904 is about 6365.8388292510. The cubic root of 40523904 is about 343.4818230563.

The spelling of 40523904 in words is "forty million, five hundred twenty-three thousand, nine hundred four".