47281610394240 has 128 divisors (see below), whose sum is σ = 150754598046720. Its totient is φ = 12604709498880.

The previous prime is 47281610394229. The next prime is 47281610394283. The reversal of 47281610394240 is 4249301618274.

47281610394240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879662 + ... + 10141778.

It is an arithmetic number, because the mean of its divisors is an integer number (1177770297240).

Almost surely, 2^{47281610394240} is an apocalyptic number.

47281610394240 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 47281610394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75377299023360).

47281610394240 is an abundant number, since it is smaller than the sum of its proper divisors (103472987652480).

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

47281610394240 is a wasteful number, since it uses less digits than its factorization.

47281610394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265530 (or 7265518 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 47281610394240 in words is "forty-seven trillion, two hundred eighty-one billion, six hundred ten million, three hundred ninety-four thousand, two hundred forty".