47441050800 has 720 divisors, whose sum is σ = 184578332064. Its totient is φ = 10340352000.

The previous prime is 47441050781. The next prime is 47441050801. The reversal of 47441050800 is 805014474.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (47441050801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77391294 + ... + 77391906.

Almost surely, 2^47441050800 is an apocalyptic number.

47441050800 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 47441050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92289166032).

47441050800 is an abundant number, since it is smaller than the sum of its proper divisors (137137281264).

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

47441050800 is a wasteful number, since it uses less digits than its factorization.

47441050800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 47441050800 in words is "forty-seven billion, four hundred forty-one million, fifty thousand, eight hundred".