47440245728160 has 768 divisors, whose sum is σ = 172686660894720. Its totient is φ = 12150745251840.

The previous prime is 47440245728107. The next prime is 47440245728207. The reversal of 47440245728160 is 6182754204474.

47440245728160 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 0 + 2 + 4 + 572 + 8 + 1 + 60 = 666.

47440245728160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47440245728097 and 47440245728106.

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 127 ways as a sum of consecutive naturals, for example, 26696817192 + ... + 26696818968.

It is an arithmetic number, because the mean of its divisors is an integer number (224852423040).

Almost surely, 2^{47440245728160} is an apocalyptic number.

47440245728160 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 47440245728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86343330447360).

47440245728160 is an abundant number, since it is smaller than the sum of its proper divisors (125246415166560).

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

47440245728160 is a wasteful number, since it uses less digits than its factorization.

47440245728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 47440245728160 in words is "forty-seven trillion, four hundred forty billion, two hundred forty-five million, seven hundred twenty-eight thousand, one hundred sixty".