42220024000 has 224 divisors, whose sum is σ = 130359790080. Its totient is φ = 13159296000.

The previous prime is 42220023977. The next prime is 42220024019. The reversal of 42220024000 is 42002224.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581731 + ... + 650269.

Almost surely, 2^42220024000 is an apocalyptic number.

42220024000 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 42220024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65179895040).

42220024000 is an abundant number, since it is smaller than the sum of its proper divisors (88139766080).

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

42220024000 is a wasteful number, since it uses less digits than its factorization.

42220024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68584 (or 68564 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42220024000 its reverse (42002224), we get a palindrome (42262026224).

The spelling of 42220024000 in words is "forty-two billion, two hundred twenty million, twenty-four thousand".