47009424000 has 1536 divisors, whose sum is σ = 208969113600. Its totient is φ = 9225216000.

The previous prime is 47009423957. The next prime is 47009424053. The reversal of 47009424000 is 42490074.

47009424000 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 595055961 + ... + 595056039.

It is an arithmetic number, because the mean of its divisors is an integer number (136047600).

Almost surely, 2^47009424000 is an apocalyptic number.

47009424000 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 47009424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104484556800).

47009424000 is an abundant number, since it is smaller than the sum of its proper divisors (161959689600).

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

47009424000 is a wasteful number, since it uses less digits than its factorization.

47009424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 47009424000 in words is "forty-seven billion, nine million, four hundred twenty-four thousand".