42384528560 has 240 divisors, whose sum is σ = 112567795200. Its totient is φ = 14819566080.

The previous prime is 42384528517. The next prime is 42384528583. The reversal of 42384528560 is 6582548324.

It is a happy number.

It is a super-2 number, since 2×42384528560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26841851 + ... + 26843429.

It is an arithmetic number, because the mean of its divisors is an integer number (469032480).

Almost surely, 2^42384528560 is an apocalyptic number.

42384528560 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 42384528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56283897600).

42384528560 is an abundant number, since it is smaller than the sum of its proper divisors (70183266640).

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

42384528560 is a wasteful number, since it uses less digits than its factorization.

42384528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The spelling of 42384528560 in words is "forty-two billion, three hundred eighty-four million, five hundred twenty-eight thousand, five hundred sixty".