40205946 has 64 divisors (see below), whose sum is σ = 92860416. Its totient is φ = 11491200.

The previous prime is 40205941. The next prime is 40205981. The reversal of 40205946 is 64950204.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40205941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87750 + ... + 88206.

It is an arithmetic number, because the mean of its divisors is an integer number (1450944).

Almost surely, 2^40205946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46430208).

40205946 is an abundant number, since it is smaller than the sum of its proper divisors (52654470).

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

40205946 is a wasteful number, since it uses less digits than its factorization.

40205946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40205946 is about 6340.8158781028. The cubic root of 40205946 is about 342.5811227381.

The spelling of 40205946 in words is "forty million, two hundred five thousand, nine hundred forty-six".