41014400 has 96 divisors (see below), whose sum is σ = 115855680. Its totient is φ = 14054400.

The previous prime is 41014399. The next prime is 41014403. The reversal of 41014400 is 441014.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (41014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21485 + ... + 23315.

It is an arithmetic number, because the mean of its divisors is an integer number (1206830).

Almost surely, 2^41014400 is an apocalyptic number.

41014400 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 41014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57927840).

41014400 is an abundant number, since it is smaller than the sum of its proper divisors (74841280).

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

41014400 is a wasteful number, since it uses less digits than its factorization.

41014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 41014400 is about 6404.2485898035. The cubic root of 41014400 is about 344.8620886856.

Adding to 41014400 its reverse (441014), we get a palindrome (41455414).

It can be divided in two parts, 41014 and 400, that added together give a palindrome (41414).

The spelling of 41014400 in words is "forty-one million, fourteen thousand, four hundred".