38482842110240 has 288 divisors, whose sum is σ = 105834041631360. Its totient is φ = 13167669616640.

The previous prime is 38482842110227. The next prime is 38482842110299. The reversal of 38482842110240 is 4201124828483.

It is a happy number.

It is a super-2 number, since 2×38482842110240² (a number of 28 digits) contains 22 as substring.

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, 1903290851 + ... + 1903311069.

It is an arithmetic number, because the mean of its divisors is an integer number (367479311220).

Almost surely, 2^{38482842110240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38482842110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52917020815680).

38482842110240 is an abundant number, since it is smaller than the sum of its proper divisors (67351199521120).

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

38482842110240 is a wasteful number, since it uses less digits than its factorization.

38482842110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26056 (or 26037 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 47.

The spelling of 38482842110240 in words is "thirty-eight trillion, four hundred eighty-two billion, eight hundred forty-two million, one hundred ten thousand, two hundred forty".