42824694432 has 96 divisors (see below), whose sum is σ = 121787632512. Its totient is φ = 13097862144.

The previous prime is 42824694403. The next prime is 42824694439. The reversal of 42824694432 is 23449642824.

42824694432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (42824694439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105678 + ... + 311154.

It is an arithmetic number, because the mean of its divisors is an integer number (1268621172).

Almost surely, 2^42824694432 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 42824694432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893816256).

42824694432 is an abundant number, since it is smaller than the sum of its proper divisors (78962938080).

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

42824694432 is a wasteful number, since it uses less digits than its factorization.

42824694432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205670 (or 205662 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 42824694432 in words is "forty-two billion, eight hundred twenty-four million, six hundred ninety-four thousand, four hundred thirty-two".