40205152 has 48 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 18385920.

The previous prime is 40205141. The next prime is 40205177. The reversal of 40205152 is 25150204.

40205152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52452 + ... + 53212.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 2^40205152 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 40205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

40205152 is an abundant number, since it is smaller than the sum of its proper divisors (45821600).

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

40205152 is a wasteful number, since it uses less digits than its factorization.

40205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 40205152 is about 6340.7532675543. The cubic root of 40205152 is about 342.5788675891.

Adding to 40205152 its reverse (25150204), we get a palindrome (65355356).

The spelling of 40205152 in words is "forty million, two hundred five thousand, one hundred fifty-two".