40825040 has 40 divisors (see below), whose sum is σ = 98196840. Its totient is φ = 15766016.

The previous prime is 40825027. The next prime is 40825061. The reversal of 40825040 is 4052804.

40825040 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 4 ways, for example, as 18496 + 40806544 = 136^2 + 6388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40824997 and 40825015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6479 + ... + 11118.

It is an arithmetic number, because the mean of its divisors is an integer number (2454921).

Almost surely, 2^40825040 is an apocalyptic number.

40825040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40825040 is an abundant number, since it is smaller than the sum of its proper divisors (57371800).

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

40825040 is a wasteful number, since it uses less digits than its factorization.

40825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 40825040 is about 6389.4475504538. The cubic root of 40825040 is about 344.3305368137.

Adding to 40825040 its reverse (4052804), we get a palindrome (44877844).

The spelling of 40825040 in words is "forty million, eight hundred twenty-five thousand, forty".