41286400 has 54 divisors (see below), whose sum is σ = 102206132. Its totient is φ = 16512000.

The previous prime is 41286379. The next prime is 41286409. The reversal of 41286400 is 468214.

41286400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41286409) 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 5 ways as a sum of consecutive naturals, for example, 3175 + ... + 9625.

Almost surely, 2^41286400 is an apocalyptic number.

41286400 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 41286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51103066).

41286400 is an abundant number, since it is smaller than the sum of its proper divisors (60919732).

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

41286400 is an equidigital number, since it uses as much as digits as its factorization.

41286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 41286400 is about 6425.4494006256. The cubic root of 41286400 is about 345.6227637041.

The spelling of 41286400 in words is "forty-one million, two hundred eighty-six thousand, four hundred".