438082337365060 has 96 divisors (see below), whose sum is σ = 931127627253600. Its totient is φ = 173111739187200.

The previous prime is 438082337365031. The next prime is 438082337365091. The reversal of 438082337365060 is 60563733280834.

It can be written as a sum of positive squares in 16 ways, for example, as 78843460219456 + 359238877145604 = 8879384^2 + 18953598^2 .

It is a super-2 number, since 2×438082337365060² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438082337364986 and 438082337365004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15375072174 + ... + 15375100666.

It is an arithmetic number, because the mean of its divisors is an integer number (9699246117225).

Almost surely, 2^{438082337365060} is an apocalyptic number.

It is an amenable number.

438082337365060 is an abundant number, since it is smaller than the sum of its proper divisors (493045289888540).

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

438082337365060 is a wasteful number, since it uses less digits than its factorization.

438082337365060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35881 (or 35879 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 438082337365060 in words is "four hundred thirty-eight trillion, eighty-two billion, three hundred thirty-seven million, three hundred sixty-five thousand, sixty".