47440192800 has 1728 divisors, whose sum is σ = 219585945600. Its totient is φ = 8805888000.

The previous prime is 47440192799. The next prime is 47440192847. The reversal of 47440192800 is 829104474.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1530328785 + ... + 1530328815.

It is an arithmetic number, because the mean of its divisors is an integer number (127075200).

Almost surely, 2^47440192800 is an apocalyptic number.

47440192800 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 47440192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109792972800).

47440192800 is an abundant number, since it is smaller than the sum of its proper divisors (172145752800).

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

47440192800 is a wasteful number, since it uses less digits than its factorization.

47440192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 47440192800 in words is "forty-seven billion, four hundred forty million, one hundred ninety-two thousand, eight hundred".