10429311376 has 75 divisors (see below), whose sum is σ = 22333173915. Its totient is φ = 4718128800.

The previous prime is 10429311353. The next prime is 10429311377. The reversal of 10429311376 is 67311392401.

The square root of 10429311376 is 102124.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10429311377) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49427911 + ... + 49428121.

Almost surely, 2^10429311376 is an apocalyptic number.

10429311376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10429311376 is the 102124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10429311376

10429311376 is an abundant number, since it is smaller than the sum of its proper divisors (11903862539).

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

10429311376 is an frugal number, since it uses more digits than its factorization.

10429311376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 10429311376 in words is "ten billion, four hundred twenty-nine million, three hundred eleven thousand, three hundred seventy-six".