39422475527824 has 135 divisors (see below), whose sum is σ = 79978912633243. Its totient is φ = 18823738995712.

The previous prime is 39422475527767. The next prime is 39422475527833. The reversal of 39422475527824 is 42872557422493.

The square root of 39422475527824 is 6278732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13603556890000 + 25818918637824 = 3688300^2 + 5081232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82301618817 + ... + 82301619295.

Almost surely, 2^{39422475527824} is an apocalyptic number.

39422475527824 is the 6278732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39422475527824

39422475527824 is an abundant number, since it is smaller than the sum of its proper divisors (40556437105419).

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

39422475527824 is an frugal number, since it uses more digits than its factorization.

39422475527824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 623 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 64.

The spelling of 39422475527824 in words is "thirty-nine trillion, four hundred twenty-two billion, four hundred seventy-five million, five hundred twenty-seven thousand, eight hundred twenty-four".