41412800 has 168 divisors, whose sum is σ = 120377712. Its totient is φ = 13824000.

The previous prime is 41412797. The next prime is 41412851. The reversal of 41412800 is 821414.

41412800 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 (20).

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 23 ways as a sum of consecutive naturals, for example, 228710 + ... + 228890.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 2^41412800 is an apocalyptic number.

41412800 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 41412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856).

41412800 is an abundant number, since it is smaller than the sum of its proper divisors (78964912).

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

41412800 is a wasteful number, since it uses less digits than its factorization.

41412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 41412800 is about 6435.2777717827. The cubic root of 41412800 is about 345.9751171031.

The spelling of 41412800 in words is "forty-one million, four hundred twelve thousand, eight hundred".