41413200 has 60 divisors (see below), whose sum is σ = 132664128. Its totient is φ = 11043200.

The previous prime is 41413153. The next prime is 41413219. The reversal of 41413200 is 231414.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41413200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16056 + ... + 18455.

Almost surely, 2^41413200 is an apocalyptic number.

41413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41413200 is an abundant number, since it is smaller than the sum of its proper divisors (91250928).

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

41413200 is a wasteful number, since it uses less digits than its factorization.

41413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34532 (or 34521 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41413200 is about 6435.3088503972. The cubic root of 41413200 is about 345.9762310067.

Adding to 41413200 its reverse (231414), we get a palindrome (41644614).

The spelling of 41413200 in words is "forty-one million, four hundred thirteen thousand, two hundred".