41314400 has 72 divisors (see below), whose sum is σ = 103290264. Its totient is φ = 16128000.

The previous prime is 41314397. The next prime is 41314447. The reversal of 41314400 is 441314.

41314400 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33800 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (1434587).

Almost surely, 2^41314400 is an apocalyptic number.

41314400 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 41314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51645132).

41314400 is an abundant number, since it is smaller than the sum of its proper divisors (61975864).

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

41314400 is a wasteful number, since it uses less digits than its factorization.

41314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41314400 is about 6427.6278672618. The cubic root of 41314400 is about 345.7008786160.

Adding to 41314400 its reverse (441314), we get a palindrome (41755714).

It can be divided in two parts, 41314 and 400, that added together give a palindrome (41714).

The spelling of 41314400 in words is "forty-one million, three hundred fourteen thousand, four hundred".