40838000 has 80 divisors (see below), whose sum is σ = 112891584. Its totient is φ = 13996800.

The previous prime is 40837999. The next prime is 40838027. The reversal of 40838000 is 83804.

40838000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 12542 + ... + 15458.

Almost surely, 2^40838000 is an apocalyptic number.

40838000 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 40838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56445792).

40838000 is an abundant number, since it is smaller than the sum of its proper divisors (72053584).

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

40838000 is a wasteful number, since it uses less digits than its factorization.

40838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40838000 is about 6390.4616421664. The cubic root of 40838000 is about 344.3669691244.

The spelling of 40838000 in words is "forty million, eight hundred thirty-eight thousand".