10432029120 has 112 divisors (see below), whose sum is σ = 33305239968. Its totient is φ = 2766458880.

The previous prime is 10432029071. The next prime is 10432029137. The reversal of 10432029120 is 2192023401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143742 + ... + 203778.

It is an arithmetic number, because the mean of its divisors is an integer number (297368214).

Almost surely, 2^10432029120 is an apocalyptic number.

10432029120 is a gapful number since it is divisible by the number (10) 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 10432029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652619984).

10432029120 is an abundant number, since it is smaller than the sum of its proper divisors (22873210848).

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

10432029120 is a wasteful number, since it uses less digits than its factorization.

10432029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60238 (or 60228 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10432029120 in words is "ten billion, four hundred thirty-two million, twenty-nine thousand, one hundred twenty".