10339484160 has 320 divisors, whose sum is σ = 34223523840. Its totient is φ = 2661335040.

The previous prime is 10339484149. The next prime is 10339484161. The reversal of 10339484160 is 6148493301.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (10339484161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43261321 + ... + 43261559.

It is an arithmetic number, because the mean of its divisors is an integer number (106948512).

Almost surely, 2^10339484160 is an apocalyptic number.

10339484160 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 10339484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111761920).

10339484160 is an abundant number, since it is smaller than the sum of its proper divisors (23884039680).

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

10339484160 is a wasteful number, since it uses less digits than its factorization.

10339484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10339484160 in words is "ten billion, three hundred thirty-nine million, four hundred eighty-four thousand, one hundred sixty".