40344900 has 72 divisors (see below), whose sum is σ = 117534144. Its totient is φ = 10684800.

The previous prime is 40344883. The next prime is 40344917. The reversal of 40344900 is 944304.

40344900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40344883) and next prime (40344917).

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 23 ways as a sum of consecutive naturals, for example, 53929 + ... + 54671.

Almost surely, 2^40344900 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 40344900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58767072).

40344900 is an abundant number, since it is smaller than the sum of its proper divisors (77189244).

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

40344900 is a wasteful number, since it uses less digits than its factorization.

40344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40344900 is about 6351.7635346414. The cubic root of 40344900 is about 342.9753287992.

The spelling of 40344900 in words is "forty million, three hundred forty-four thousand, nine hundred".