32052442144400 has 120 divisors (see below), whose sum is σ = 81613501792200. Its totient is φ = 12055295918080.

The previous prime is 32052442144397. The next prime is 32052442144453. The reversal of 32052442144400 is 444124425023.

It can be written as a sum of positive squares in 12 ways, for example, as 341668306576 + 31710773837824 = 584524^2 + 5631232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4886492 + ... + 9379908.

It is an arithmetic number, because the mean of its divisors is an integer number (680112514935).

Almost surely, 2^{32052442144400} 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 32052442144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40806750896100).

32052442144400 is an abundant number, since it is smaller than the sum of its proper divisors (49561059647800).

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

32052442144400 is a wasteful number, since it uses less digits than its factorization.

32052442144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494501 (or 4494490 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 32052442144400 its reverse (444124425023), we get a palindrome (32496566569423).

The spelling of 32052442144400 in words is "thirty-two trillion, fifty-two billion, four hundred forty-two million, one hundred forty-four thousand, four hundred".