41362800 has 60 divisors (see below), whose sum is σ = 132502680. Its totient is φ = 11029760.

The previous prime is 41362793. The next prime is 41362813. The reversal of 41362800 is 826314.

It is a happy number.

41362800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

It is an unprimeable number.

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, 16035 + ... + 18434.

It is an arithmetic number, because the mean of its divisors is an integer number (2208378).

Almost surely, 2^41362800 is an apocalyptic number.

41362800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41362800 is an abundant number, since it is smaller than the sum of its proper divisors (91139880).

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

41362800 is a wasteful number, since it uses less digits than its factorization.

41362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34490 (or 34479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41362800 is about 6431.3917622860. The cubic root of 41362800 is about 345.8358226301.

The spelling of 41362800 in words is "forty-one million, three hundred sixty-two thousand, eight hundred".