47934020040192 has 720 divisors, whose sum is σ = 163885743141120. Its totient is φ = 13397625077760.

The previous prime is 47934020040187. The next prime is 47934020040197. The reversal of 47934020040192 is 29104002043974.

47934020040192 is a `hidden beast` number, since 4 + 7 + 9 + 34 + 0 + 200 + 401 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (47934020040187) and next prime (47934020040197).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47934020040197) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16649536609 + ... + 16649539487.

It is an arithmetic number, because the mean of its divisors is an integer number (227619087696).

Almost surely, 2^{47934020040192} 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 47934020040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942871570560).

47934020040192 is an abundant number, since it is smaller than the sum of its proper divisors (115951723100928).

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

47934020040192 is a wasteful number, since it uses less digits than its factorization.

47934020040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 47934020040192 in words is "forty-seven trillion, nine hundred thirty-four billion, twenty million, forty thousand, one hundred ninety-two".