42259175280 has 960 divisors, whose sum is σ = 186380928000. Its totient is φ = 8595652608.

The previous prime is 42259175279. The next prime is 42259175323. The reversal of 42259175280 is 8257195224.

42259175280 is a `hidden beast` number, since 4 + 2 + 2 + 591 + 7 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83023666 + ... + 83024174.

It is an arithmetic number, because the mean of its divisors is an integer number (194146800).

Almost surely, 2^42259175280 is an apocalyptic number.

42259175280 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 42259175280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93190464000).

42259175280 is an abundant number, since it is smaller than the sum of its proper divisors (144121752720).

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

42259175280 is a wasteful number, since it uses less digits than its factorization.

42259175280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 42259175280 in words is "forty-two billion, two hundred fifty-nine million, one hundred seventy-five thousand, two hundred eighty".