40435040 has 96 divisors (see below), whose sum is σ = 103057920. Its totient is φ = 14943744.

The previous prime is 40435037. The next prime is 40435049. The reversal of 40435040 is 4053404.

It is a happy number.

40435040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40435049) 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 15 ways as a sum of consecutive naturals, for example, 142739 + ... + 143021.

It is an arithmetic number, because the mean of its divisors is an integer number (1073520).

Almost surely, 2^40435040 is an apocalyptic number.

40435040 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 40435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528960).

40435040 is an abundant number, since it is smaller than the sum of its proper divisors (62622880).

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

40435040 is a wasteful number, since it uses less digits than its factorization.

40435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 40435040 is about 6358.8552428877. The cubic root of 40435040 is about 343.2305680016.

Adding to 40435040 its reverse (4053404), we get a palindrome (44488444).

The spelling of 40435040 in words is "forty million, four hundred thirty-five thousand, forty".