47943431424 has 864 divisors, whose sum is σ = 176863232000. Its totient is φ = 12436623360.

The previous prime is 47943431407. The next prime is 47943431453. The reversal of 47943431424 is 42413434974.

47943431424 is a `hidden beast` number, since 4 + 79 + 434 + 3 + 142 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47943431424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465470157 + ... + 465470259.

Almost surely, 2^47943431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47943431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88431616000).

47943431424 is an abundant number, since it is smaller than the sum of its proper divisors (128919800576).

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

47943431424 is a wasteful number, since it uses less digits than its factorization.

47943431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 47943431424 in words is "forty-seven billion, nine hundred forty-three million, four hundred thirty-one thousand, four hundred twenty-four".