47441358720 has 512 divisors, whose sum is σ = 203328921600. Its totient is φ = 10205429760.

The previous prime is 47441358719. The next prime is 47441358739. The reversal of 47441358720 is 2785314474.

47441358720 is a `hidden beast` number, since 4 + 7 + 4 + 41 + 3 + 587 + 20 = 666.

47441358720 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044785 + ... + 2067855.

It is an arithmetic number, because the mean of its divisors is an integer number (397126800).

Almost surely, 2^47441358720 is an apocalyptic number.

47441358720 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 47441358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101664460800).

47441358720 is an abundant number, since it is smaller than the sum of its proper divisors (155887562880).

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

47441358720 is a wasteful number, since it uses less digits than its factorization.

47441358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47441358720 in words is "forty-seven billion, four hundred forty-one million, three hundred fifty-eight thousand, seven hundred twenty".