42581230720 has 128 divisors (see below), whose sum is σ = 117538565760. Its totient is φ = 14448623616.

The previous prime is 42581230667. The next prime is 42581230789. The reversal of 42581230720 is 2703218524.

It is a happy number.

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

It is a super-2 number, since 2×42581230720² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385567 + ... + 483553.

It is an arithmetic number, because the mean of its divisors is an integer number (918270045).

Almost surely, 2^42581230720 is an apocalyptic number.

42581230720 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 42581230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58769282880).

42581230720 is an abundant number, since it is smaller than the sum of its proper divisors (74957335040).

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

42581230720 is an equidigital number, since it uses as much as digits as its factorization.

42581230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98110 (or 98098 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 42581230720 in words is "forty-two billion, five hundred eighty-one million, two hundred thirty thousand, seven hundred twenty".