42871383821448 has 2048 divisors, whose sum is σ = 164874092544000. Its totient is φ = 10001294622720.

The previous prime is 42871383821411. The next prime is 42871383821459. The reversal of 42871383821448 is 84412838317824.

42871383821448 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 138 + 38 + 21 + 448 = 666.

42871383821448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 84226687018 + ... + 84226687526.

It is an arithmetic number, because the mean of its divisors is an integer number (80504928000).

Almost surely, 2^{42871383821448} 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 42871383821448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82437046272000).

42871383821448 is an abundant number, since it is smaller than the sum of its proper divisors (122002708722552).

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

42871383821448 is a wasteful number, since it uses less digits than its factorization.

42871383821448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 42871383821448 in words is "forty-two trillion, eight hundred seventy-one billion, three hundred eighty-three million, eight hundred twenty-one thousand, four hundred forty-eight".