40205824 has 40 divisors (see below), whose sum is σ = 84581640. Its totient is φ = 19040256.

The previous prime is 40205819. The next prime is 40205827. The reversal of 40205824 is 42850204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205827) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7662 + ... + 11794.

It is an arithmetic number, because the mean of its divisors is an integer number (2114541).

Almost surely, 2^40205824 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 40205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42290820).

40205824 is an abundant number, since it is smaller than the sum of its proper divisors (44375816).

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

40205824 is an equidigital number, since it uses as much as digits as its factorization.

40205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 40205824 is about 6340.8062578824. The cubic root of 40205824 is about 342.5807762310.

The spelling of 40205824 in words is "forty million, two hundred five thousand, eight hundred twenty-four".