10144200432 has 80 divisors (see below), whose sum is σ = 27192132608. Its totient is φ = 3255275520.

The previous prime is 10144200419. The next prime is 10144200511. The reversal of 10144200432 is 23400244101.

It is a junction number, because it is equal to n+sod(n) for n = 10144200399 and 10144200408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269523 + ... + 304845.

Almost surely, 2^10144200432 is an apocalyptic number.

10144200432 is a gapful number since it is divisible by the number (12) 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 10144200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596066304).

10144200432 is an abundant number, since it is smaller than the sum of its proper divisors (17047932176).

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

10144200432 is a wasteful number, since it uses less digits than its factorization.

10144200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35558 (or 35552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10144200432 its reverse (23400244101), we get a palindrome (33544444533).

The spelling of 10144200432 in words is "ten billion, one hundred forty-four million, two hundred thousand, four hundred thirty-two".