40205200 has 120 divisors (see below), whose sum is σ = 112367808. Its totient is φ = 13539840.

The previous prime is 40205189. The next prime is 40205203. The reversal of 40205200 is 250204.

It is a happy number.

40205200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40205203) 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 23 ways as a sum of consecutive naturals, for example, 232314 + ... + 232486.

Almost surely, 2^40205200 is an apocalyptic number.

40205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56183904).

40205200 is an abundant number, since it is smaller than the sum of its proper divisors (72162608).

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

40205200 is a wasteful number, since it uses less digits than its factorization.

40205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 40205200 is about 6340.7570525924. The cubic root of 40205200 is about 342.5790039213.

Adding to 40205200 its reverse (250204), we get a palindrome (40455404).

The spelling of 40205200 in words is "forty million, two hundred five thousand, two hundred".