41266400 has 72 divisors (see below), whose sum is σ = 115148880. Its totient is φ = 14146560.

The previous prime is 41266399. The next prime is 41266403. The reversal of 41266400 is 466214.

It is a happy number.

41266400 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 (41266403) 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 11 ways as a sum of consecutive naturals, for example, 1916 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (1599290).

Almost surely, 2^41266400 is an apocalyptic number.

41266400 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 41266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57574440).

41266400 is an abundant number, since it is smaller than the sum of its proper divisors (73882480).

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

41266400 is a wasteful number, since it uses less digits than its factorization.

41266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 41266400 is about 6423.8929007262. The cubic root of 41266400 is about 345.5669457127.

The spelling of 41266400 in words is "forty-one million, two hundred sixty-six thousand, four hundred".