1024142143232 has 144 divisors (see below), whose sum is σ = 2223306956640. Its totient is φ = 468025344000.

The previous prime is 1024142143231. The next prime is 1024142143253. The reversal of 1024142143232 is 2323412414201.

1024142143232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1024142143195 and 1024142143204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024142143231) 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, 185496632 + ... + 185502152.

Almost surely, 2^{1024142143232} 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 1024142143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111653478320).

1024142143232 is an abundant number, since it is smaller than the sum of its proper divisors (1199164813408).

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

1024142143232 is a wasteful number, since it uses less digits than its factorization.

1024142143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6090 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1024142143232 its reverse (2323412414201), we get a palindrome (3347554557433).

The spelling of 1024142143232 in words is "one trillion, twenty-four billion, one hundred forty-two million, one hundred forty-three thousand, two hundred thirty-two".