40221864 has 72 divisors (see below), whose sum is σ = 115778910. Its totient is φ = 12612096.

The previous prime is 40221829. The next prime is 40221877. The reversal of 40221864 is 46812204.

40221864 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 3 ways, for example, as 40220964 + 900 = 6342^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 19842 + ... + 21774.

Almost surely, 2^40221864 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 40221864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57889455).

40221864 is an abundant number, since it is smaller than the sum of its proper divisors (75557046).

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

40221864 is a wasteful number, since it uses less digits than its factorization.

40221864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40221864 is about 6342.0709551376. The cubic root of 40221864 is about 342.6263273853.

It can be divided in two parts, 4022 and 1864, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 40221864 in words is "forty million, two hundred twenty-one thousand, eight hundred sixty-four".