40305642 has 64 divisors (see below), whose sum is σ = 91176960. Its totient is φ = 11793600.

The previous prime is 40305641. The next prime is 40305647. The reversal of 40305642 is 24650304.

40305642 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 (40305641) 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 31 ways as a sum of consecutive naturals, for example, 190917 + ... + 191127.

It is an arithmetic number, because the mean of its divisors is an integer number (1424640).

Almost surely, 2^40305642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40305642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45588480).

40305642 is an abundant number, since it is smaller than the sum of its proper divisors (50871318).

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

40305642 is a wasteful number, since it uses less digits than its factorization.

40305642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40305642 is about 6348.6724596564. The cubic root of 40305642 is about 342.8640475296.

Adding to 40305642 its reverse (24650304), we get a palindrome (64955946).

The spelling of 40305642 in words is "forty million, three hundred five thousand, six hundred forty-two".