10142332032 has 192 divisors, whose sum is σ = 32105838240. Its totient is φ = 2826915840.

The previous prime is 10142331893. The next prime is 10142332049. The reversal of 10142332032 is 23023324101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764883 + ... + 778029.

Almost surely, 2^10142332032 is an apocalyptic number.

10142332032 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 10142332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052919120).

10142332032 is an abundant number, since it is smaller than the sum of its proper divisors (21963506208).

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

10142332032 is a wasteful number, since it uses less digits than its factorization.

10142332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13219 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10142332032 its reverse (23023324101), we get a palindrome (33165656133).

The spelling of 10142332032 in words is "ten billion, one hundred forty-two million, three hundred thirty-two thousand, thirty-two".