47916479040 has 224 divisors, whose sum is σ = 154418019840. Its totient is φ = 12587237376.

The previous prime is 47916478999. The next prime is 47916479047. The reversal of 47916479040 is 4097461974.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47916479047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22254604 + ... + 22256756.

It is an arithmetic number, because the mean of its divisors is an integer number (689366160).

Almost surely, 2^47916479040 is an apocalyptic number.

47916479040 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 47916479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77209009920).

47916479040 is an abundant number, since it is smaller than the sum of its proper divisors (106501540800).

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

47916479040 is a wasteful number, since it uses less digits than its factorization.

47916479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 47916479040 in words is "forty-seven billion, nine hundred sixteen million, four hundred seventy-nine thousand, forty".