42256240320 has 448 divisors, whose sum is σ = 161294893056. Its totient is φ = 9163714560.

The previous prime is 42256240291. The next prime is 42256240333. The reversal of 42256240320 is 2304265224.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 20246317 + ... + 20248403.

Almost surely, 2^42256240320 is an apocalyptic number.

42256240320 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 42256240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80647446528).

42256240320 is an abundant number, since it is smaller than the sum of its proper divisors (119038652736).

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

42256240320 is a wasteful number, since it uses less digits than its factorization.

42256240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 42256240320 in words is "forty-two billion, two hundred fifty-six million, two hundred forty thousand, three hundred twenty".