10438388064 has 288 divisors, whose sum is σ = 33374315520. Its totient is φ = 3072577536.

The previous prime is 10438388047. The next prime is 10438388083. The reversal of 10438388064 is 46088383401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13788774 + ... + 13789530.

It is an arithmetic number, because the mean of its divisors is an integer number (115883040).

Almost surely, 2^10438388064 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 10438388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687157760).

10438388064 is an abundant number, since it is smaller than the sum of its proper divisors (22935927456).

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

10438388064 is a wasteful number, since it uses less digits than its factorization.

10438388064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10438388064 in words is "ten billion, four hundred thirty-eight million, three hundred eighty-eight thousand, sixty-four".