10032444052000 has 48 divisors (see below), whose sum is σ = 24649715045592. Its totient is φ = 4012977619200.

The previous prime is 10032444051991. The next prime is 10032444052027. The reversal of 10032444052000 is 25044423001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4051347737616 + 5981096314384 = 2012796^2 + 2445628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254051507 + ... + 1254059506.

Almost surely, 2^{10032444052000} is an apocalyptic number.

10032444052000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032444052000 is an abundant number, since it is smaller than the sum of its proper divisors (14617270993592).

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

10032444052000 is an equidigital number, since it uses as much as digits as its factorization.

10032444052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508111038 (or 2508111020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10032444052000 its reverse (25044423001), we get a palindrome (10057488475001).

The spelling of 10032444052000 in words is "ten trillion, thirty-two billion, four hundred forty-four million, fifty-two thousand".