40005216 has 72 divisors (see below), whose sum is σ = 120471624. Its totient is φ = 12549120.

The previous prime is 40005197. The next prime is 40005227. The reversal of 40005216 is 61250004.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (1673217).

Almost surely, 2^40005216 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 40005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60235812).

40005216 is an abundant number, since it is smaller than the sum of its proper divisors (80466408).

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

40005216 is a wasteful number, since it uses less digits than its factorization.

40005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40005216 is about 6324.9676679016. The cubic root of 40005216 is about 342.0100540801.

It can be divided in two parts, 4000 and 5216, that added together give a square (9216 = 96²).

The spelling of 40005216 in words is "forty million, five thousand, two hundred sixteen".