10032144233140 has 12 divisors (see below), whose sum is σ = 21067502889636. Its totient is φ = 4012857693248.

The previous prime is 10032144233113. The next prime is 10032144233149. The reversal of 10032144233140 is 4133244123001.

It is a happy number.

10032144233140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4485610541476 + 5546533691664 = 2117926^2 + 2355108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10032144233099 and 10032144233108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032144233149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250803605809 + ... + 250803605848.

It is an arithmetic number, because the mean of its divisors is an integer number (1755625240803).

Almost surely, 2^{10032144233140} is an apocalyptic number.

10032144233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032144233140 is an abundant number, since it is smaller than the sum of its proper divisors (11035358656496).

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

10032144233140 is a wasteful number, since it uses less digits than its factorization.

10032144233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501607211666 (or 501607211664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10032144233140 its reverse (4133244123001), we get a palindrome (14165388356141).

The spelling of 10032144233140 in words is "ten trillion, thirty-two billion, one hundred forty-four million, two hundred thirty-three thousand, one hundred forty".