10325032144 has 80 divisors (see below), whose sum is σ = 24228913536. Its totient is φ = 4161024000.

The previous prime is 10325032129. The next prime is 10325032147. The reversal of 10325032144 is 44123052301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325032147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3427599 + ... + 3430609.

Almost surely, 2^10325032144 is an apocalyptic number.

10325032144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10325032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114456768).

10325032144 is an abundant number, since it is smaller than the sum of its proper divisors (13903881392).

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

10325032144 is a wasteful number, since it uses less digits than its factorization.

10325032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10325032144 its reverse (44123052301), we get a palindrome (54448084445).

The spelling of 10325032144 in words is "ten billion, three hundred twenty-five million, thirty-two thousand, one hundred forty-four".