47936471040 has 768 divisors, whose sum is σ = 184022280000. Its totient is φ = 11494490112.

The previous prime is 47936471003. The next prime is 47936471047. The reversal of 47936471040 is 4017463974.

47936471040 is a `hidden beast` number, since 479 + 36 + 47 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (47936471047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812482531 + ... + 812482589.

Almost surely, 2^47936471040 is an apocalyptic number.

47936471040 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 47936471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92011140000).

47936471040 is an abundant number, since it is smaller than the sum of its proper divisors (136085808960).

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

47936471040 is a wasteful number, since it uses less digits than its factorization.

47936471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 47936471040 in words is "forty-seven billion, nine hundred thirty-six million, four hundred seventy-one thousand, forty".