40386816 has 72 divisors (see below), whose sum is σ = 119451360. Its totient is φ = 13459968.

The previous prime is 40386811. The next prime is 40386817. The reversal of 40386816 is 61868304.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (40386811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991 + ... + 9833.

Almost surely, 2^40386816 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 40386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59725680).

40386816 is an abundant number, since it is smaller than the sum of its proper divisors (79064544).

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

40386816 is an equidigital number, since it uses as much as digits as its factorization.

40386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40386816 is about 6355.0622341563. The cubic root of 40386816 is about 343.0940648153.

The spelling of 40386816 in words is "forty million, three hundred eighty-six thousand, eight hundred sixteen".