10429990880 has 96 divisors (see below), whose sum is σ = 25090103808. Its totient is φ = 4096422400.

The previous prime is 10429990859. The next prime is 10429990897. The reversal of 10429990880 is 8809992401.

It is a happy number.

10429990880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985935 + ... + 2989425.

It is an arithmetic number, because the mean of its divisors is an integer number (261355248).

Almost surely, 2^10429990880 is an apocalyptic number.

10429990880 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 10429990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545051904).

10429990880 is an abundant number, since it is smaller than the sum of its proper divisors (14660112928).

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

10429990880 is a wasteful number, since it uses less digits than its factorization.

10429990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The spelling of 10429990880 in words is "ten billion, four hundred twenty-nine million, nine hundred ninety thousand, eight hundred eighty".