40334100 has 72 divisors (see below), whose sum is σ = 120492288. Its totient is φ = 10406400.

The previous prime is 40334089. The next prime is 40334101. The reversal of 40334100 is 143304.

40334100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40334100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40334101) 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, 7132 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (1673504).

Almost surely, 2^40334100 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 40334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60246144).

40334100 is an abundant number, since it is smaller than the sum of its proper divisors (80158188).

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

40334100 is a wasteful number, since it uses less digits than its factorization.

40334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40334100 is about 6350.9133201454. The cubic root of 40334100 is about 342.9447221705.

Adding to 40334100 its reverse (143304), we get a palindrome (40477404).

The spelling of 40334100 in words is "forty million, three hundred thirty-four thousand, one hundred".