41612800 has 60 divisors (see below), whose sum is σ = 103130676. Its totient is φ = 16640000.

The previous prime is 41612771. The next prime is 41612801. The reversal of 41612800 is 821614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41612801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11175 + ... + 14425.

Almost surely, 2^41612800 is an apocalyptic number.

41612800 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 41612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51565338).

41612800 is an abundant number, since it is smaller than the sum of its proper divisors (61517876).

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

41612800 is an equidigital number, since it uses as much as digits as its factorization.

41612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 41612800 is about 6450.7984001982. The cubic root of 41612800 is about 346.5311765066.

The spelling of 41612800 in words is "forty-one million, six hundred twelve thousand, eight hundred".