40956400 has 120 divisors (see below), whose sum is σ = 110015280. Its totient is φ = 14561280.

The previous prime is 40956371. The next prime is 40956401. The reversal of 40956400 is 465904.

40956400 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 (40956401) 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, 129042 + ... + 129358.

It is an arithmetic number, because the mean of its divisors is an integer number (916794).

Almost surely, 2^40956400 is an apocalyptic number.

40956400 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 40956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55007640).

40956400 is an abundant number, since it is smaller than the sum of its proper divisors (69058880).

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

40956400 is a wasteful number, since it uses less digits than its factorization.

40956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 40956400 is about 6399.7187438199. The cubic root of 40956400 is about 344.6994511966.

The spelling of 40956400 in words is "forty million, nine hundred fifty-six thousand, four hundred".