10201432144 has 80 divisors (see below), whose sum is σ = 21177965952. Its totient is φ = 4748857344.

The previous prime is 10201432141. The next prime is 10201432147. The reversal of 10201432144 is 44123410201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201432141) and next prime (10201432147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201432141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5331732 + ... + 5333644.

Almost surely, 2^10201432144 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 10201432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588982976).

10201432144 is an abundant number, since it is smaller than the sum of its proper divisors (10976533808).

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

10201432144 is a wasteful number, since it uses less digits than its factorization.

10201432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10201432144 its reverse (44123410201), we get a palindrome (54324842345).

The spelling of 10201432144 in words is "ten billion, two hundred one million, four hundred thirty-two thousand, one hundred forty-four".