41334289800 has 192 divisors, whose sum is σ = 129493140480. Its totient is φ = 10906410240.

The previous prime is 41334289783. The next prime is 41334289807. The reversal of 41334289800 is 898243314.

It is not an unprimeable number, because it can be changed into a prime (41334289807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25720597 + ... + 25722203.

It is an arithmetic number, because the mean of its divisors is an integer number (674443440).

Almost surely, 2^41334289800 is an apocalyptic number.

41334289800 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 41334289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64746570240).

41334289800 is an abundant number, since it is smaller than the sum of its proper divisors (88158850680).

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

41334289800 is a wasteful number, since it uses less digits than its factorization.

41334289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 41334289800 in words is "forty-one billion, three hundred thirty-four million, two hundred eighty-nine thousand, eight hundred".