47841408000 has 704 divisors, whose sum is σ = 179847782400. Its totient is φ = 12541132800.

The previous prime is 47841407993. The next prime is 47841408011. The reversal of 47841408000 is 80414874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 376703937 + ... + 376704063.

It is an arithmetic number, because the mean of its divisors is an integer number (255465600).

Almost surely, 2^47841408000 is an apocalyptic number.

47841408000 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 47841408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89923891200).

47841408000 is an abundant number, since it is smaller than the sum of its proper divisors (132006374400).

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

47841408000 is a wasteful number, since it uses less digits than its factorization.

47841408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 47841408000 in words is "forty-seven billion, eight hundred forty-one million, four hundred eight thousand".