10038862432 has 48 divisors (see below), whose sum is σ = 20659968000. Its totient is φ = 4795989120.

The previous prime is 10038862429. The next prime is 10038862433. The reversal of 10038862432 is 23426883001.

It is a junction number, because it is equal to n+sod(n) for n = 10038862391 and 10038862400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038862433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14319 + ... + 142417.

It is an arithmetic number, because the mean of its divisors is an integer number (430416000).

Almost surely, 2^10038862432 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 10038862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329984000).

10038862432 is an abundant number, since it is smaller than the sum of its proper divisors (10621105568).

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

10038862432 is a wasteful number, since it uses less digits than its factorization.

10038862432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128219 (or 128211 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 10038862432 in words is "ten billion, thirty-eight million, eight hundred sixty-two thousand, four hundred thirty-two".