10142432352 has 72 divisors (see below), whose sum is σ = 31061210544. Its totient is φ = 3120747264.

The previous prime is 10142432327. The next prime is 10142432353. The reversal of 10142432352 is 25323424101.

10142432352 is a `hidden beast` number, since 1 + 0 + 1 + 424 + 3 + 235 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142432353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350748 + ... + 1358235.

It is an arithmetic number, because the mean of its divisors is an integer number (431405702).

Almost surely, 2^10142432352 is an apocalyptic number.

10142432352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142432352 is an abundant number, since it is smaller than the sum of its proper divisors (20918778192).

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

10142432352 is a wasteful number, since it uses less digits than its factorization.

10142432352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709012 (or 2709001 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10142432352 its reverse (25323424101), we get a palindrome (35465856453).

The spelling of 10142432352 in words is "ten billion, one hundred forty-two million, four hundred thirty-two thousand, three hundred fifty-two".