40216820 has 48 divisors (see below), whose sum is σ = 97711488. Its totient is φ = 13618560.

The previous prime is 40216807. The next prime is 40216829. The reversal of 40216820 is 2861204.

40216820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40216820² = 3234785221824800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216829) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9890 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (2035656).

Almost surely, 2^40216820 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 40216820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48855744).

40216820 is an abundant number, since it is smaller than the sum of its proper divisors (57494668).

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

40216820 is a wasteful number, since it uses less digits than its factorization.

40216820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40216820 is about 6341.6732807675. The cubic root of 40216820 is about 342.6120044999.

The spelling of 40216820 in words is "forty million, two hundred sixteen thousand, eight hundred twenty".