42251223520 has 192 divisors, whose sum is σ = 112306715136. Its totient is φ = 14885959680.

The previous prime is 42251223493. The next prime is 42251223563. The reversal of 42251223520 is 2532215224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17125327 + ... + 17127793.

It is an arithmetic number, because the mean of its divisors is an integer number (584930808).

Almost surely, 2^42251223520 is an apocalyptic number.

42251223520 is a gapful number since it is divisible by the number (40) 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 42251223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56153357568).

42251223520 is an abundant number, since it is smaller than the sum of its proper divisors (70055491616).

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

42251223520 is a wasteful number, since it uses less digits than its factorization.

42251223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 42251223520 its reverse (2532215224), we get a palindrome (44783438744).

The spelling of 42251223520 in words is "forty-two billion, two hundred fifty-one million, two hundred twenty-three thousand, five hundred twenty".