47935404711432 has 384 divisors, whose sum is σ = 149550691330560. Its totient is φ = 13587585822720.

The previous prime is 47935404711431. The next prime is 47935404711443. The reversal of 47935404711432 is 23411740453974.

47935404711432 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 540 + 47 + 11 + 43 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (47935404711431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54658385778 + ... + 54658386654.

It is an arithmetic number, because the mean of its divisors is an integer number (389454925340).

Almost surely, 2^{47935404711432} is an apocalyptic number.

47935404711432 is a gapful number since it is divisible by the number (42) 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 47935404711432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74775345665280).

47935404711432 is an abundant number, since it is smaller than the sum of its proper divisors (101615286619128).

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

47935404711432 is a wasteful number, since it uses less digits than its factorization.

47935404711432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 47935404711432 in words is "forty-seven trillion, nine hundred thirty-five billion, four hundred four million, seven hundred eleven thousand, four hundred thirty-two".