10410232032 has 144 divisors (see below), whose sum is σ = 30972902688. Its totient is φ = 3310433280.

The previous prime is 10410232003. The next prime is 10410232039. The reversal of 10410232032 is 23023201401.

10410232032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10410231996 and 10410232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410232039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2786838 + ... + 2790570.

It is an arithmetic number, because the mean of its divisors is an integer number (215089602).

Almost surely, 2^10410232032 is an apocalyptic number.

10410232032 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 10410232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486451344).

10410232032 is an abundant number, since it is smaller than the sum of its proper divisors (20562670656).

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

10410232032 is a wasteful number, since it uses less digits than its factorization.

10410232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10410232032 its reverse (23023201401), we get a palindrome (33433433433).

The spelling of 10410232032 in words is "ten billion, four hundred ten million, two hundred thirty-two thousand, thirty-two".