40033400 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 14064000.

The previous prime is 40033379. The next prime is 40033403. The reversal of 40033400 is 433004.

40033400 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 not an unprimeable number, because it can be changed into a prime (40033403) 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, 67907 + ... + 68493.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^40033400 is an apocalyptic number.

40033400 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 40033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

40033400 is an abundant number, since it is smaller than the sum of its proper divisors (64959880).

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

40033400 is a wasteful number, since it uses less digits than its factorization.

40033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 40033400 is about 6327.1952712082. The cubic root of 40033400 is about 342.0903515145.

Adding to 40033400 its reverse (433004), we get a palindrome (40466404).

The spelling of 40033400 in words is "forty million, thirty-three thousand, four hundred".