10032429744 has 120 divisors (see below), whose sum is σ = 29425321520. Its totient is φ = 3272679936.

The previous prime is 10032429739. The next prime is 10032429749. The reversal of 10032429744 is 44792423001.

10032429744 is a `hidden beast` number, since 1 + 0 + 0 + 324 + 297 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (10032429739) and next prime (10032429749).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10032429699 and 10032429708.

It is not an unprimeable number, because it can be changed into a prime (10032429749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949032 + ... + 959544.

Almost surely, 2^10032429744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712660760).

10032429744 is an abundant number, since it is smaller than the sum of its proper divisors (19392891776).

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

10032429744 is a wasteful number, since it uses less digits than its factorization.

10032429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10032429744 in words is "ten billion, thirty-two million, four hundred twenty-nine thousand, seven hundred forty-four".