47471456859840 has 1120 divisors, whose sum is σ = 185592977982720. Its totient is φ = 11445762392064.

The previous prime is 47471456859803. The next prime is 47471456859857. The reversal of 47471456859840 is 4895865417474.

47471456859840 is a `hidden beast` number, since 4 + 7 + 4 + 7 + 1 + 4 + 568 + 59 + 8 + 4 + 0 = 666.

47471456859840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12840532872 + ... + 12840536568.

It is an arithmetic number, because the mean of its divisors is an integer number (165708016056).

Almost surely, 2^{47471456859840} is an apocalyptic number.

47471456859840 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 47471456859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92796488991360).

47471456859840 is an abundant number, since it is smaller than the sum of its proper divisors (138121521122880).

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

47471456859840 is a wasteful number, since it uses less digits than its factorization.

47471456859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 47471456859840 in words is "forty-seven trillion, four hundred seventy-one billion, four hundred fifty-six million, eight hundred fifty-nine thousand, eight hundred forty".