10429523440 has 160 divisors (see below), whose sum is σ = 28702162944. Its totient is φ = 3448949760.

The previous prime is 10429523437. The next prime is 10429523441. The reversal of 10429523440 is 4432592401.

It is a junction number, because it is equal to n+sod(n) for n = 10429523396 and 10429523405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429523441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6370302 + ... + 6371938.

Almost surely, 2^10429523440 is an apocalyptic number.

10429523440 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 10429523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351081472).

10429523440 is an abundant number, since it is smaller than the sum of its proper divisors (18272639504).

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

10429523440 is a wasteful number, since it uses less digits than its factorization.

10429523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 10429523440 in words is "ten billion, four hundred twenty-nine million, five hundred twenty-three thousand, four hundred forty".