47440320883200 has 960 divisors, whose sum is σ = 199154027255040. Its totient is φ = 10835361792000.

The previous prime is 47440320883183. The next prime is 47440320883213. The reversal of 47440320883200 is 238802304474.

47440320883200 is a `hidden beast` number, since 4 + 7 + 4 + 40 + 320 + 8 + 83 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3582828580 + ... + 3582841820.

It is an arithmetic number, because the mean of its divisors is an integer number (207452111724).

Almost surely, 2^{47440320883200} is an apocalyptic number.

47440320883200 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 47440320883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99577013627520).

47440320883200 is an abundant number, since it is smaller than the sum of its proper divisors (151713706371840).

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

47440320883200 is a wasteful number, since it uses less digits than its factorization.

47440320883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14739 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 47440320883200 in words is "forty-seven trillion, four hundred forty billion, three hundred twenty million, eight hundred eighty-three thousand, two hundred".