42442404224 has 128 divisors (see below), whose sum is σ = 93775829760. Its totient is φ = 18973440000.

The previous prime is 42442404167. The next prime is 42442404233. The reversal of 42442404224 is 42240424424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23178989 + ... + 23180819.

It is an arithmetic number, because the mean of its divisors is an integer number (732623670).

Almost surely, 2^42442404224 is an apocalyptic number.

42442404224 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 42442404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46887914880).

42442404224 is an abundant number, since it is smaller than the sum of its proper divisors (51333425536).

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

42442404224 is a wasteful number, since it uses less digits than its factorization.

42442404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42442404224 its reverse (42240424424), we get a palindrome (84682828648).

The spelling of 42442404224 in words is "forty-two billion, four hundred forty-two million, four hundred four thousand, two hundred twenty-four".