40864224 has 48 divisors (see below), whose sum is σ = 108017280. Its totient is φ = 13526400.

The previous prime is 40864217. The next prime is 40864237. The reversal of 40864224 is 42246804.

40864224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 40864191 and 40864200.

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, 13087 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (2250360).

Almost surely, 2^40864224 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 40864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008640).

40864224 is an abundant number, since it is smaller than the sum of its proper divisors (67153056).

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

40864224 is a wasteful number, since it uses less digits than its factorization.

40864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 40864224 is about 6392.5131208313. The cubic root of 40864224 is about 344.4406647599.

The spelling of 40864224 in words is "forty million, eight hundred sixty-four thousand, two hundred twenty-four".