40825504 has 72 divisors (see below), whose sum is σ = 87577308. Its totient is φ = 18708480.

The previous prime is 40825489. The next prime is 40825523. The reversal of 40825504 is 40552804.

40825504 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 6 ways, for example, as 19184400 + 21641104 = 4380^2 + 4652^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 995724 + ... + 995764.

Almost surely, 2^40825504 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 40825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43788654).

40825504 is an abundant number, since it is smaller than the sum of its proper divisors (46751804).

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

40825504 is a wasteful number, since it uses less digits than its factorization.

40825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 40825504 is about 6389.4838602191. The cubic root of 40825504 is about 344.3318413134.

The spelling of 40825504 in words is "forty million, eight hundred twenty-five thousand, five hundred four".