42284048224 has 72 divisors (see below), whose sum is σ = 91616321160. Its totient is φ = 19196136960.

The previous prime is 42284048189. The next prime is 42284048227.

It is a happy number.

42284048224 is nontrivially palindromic in base 10.

42284048224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284048227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3319692 + ... + 3332404.

It is an arithmetic number, because the mean of its divisors is an integer number (1272448905).

Almost surely, 2^42284048224 is an apocalyptic number.

42284048224 is a gapful number since it is divisible by the number (44) 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 42284048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45808160580).

42284048224 is an abundant number, since it is smaller than the sum of its proper divisors (49332272936).

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

42284048224 is a wasteful number, since it uses less digits than its factorization.

42284048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 42284048224 in words is "forty-two billion, two hundred eighty-four million, forty-eight thousand, two hundred twenty-four".