10442353920 has 144 divisors (see below), whose sum is σ = 34126395072. Its totient is φ = 2719825920.

The previous prime is 10442353913. The next prime is 10442353949. The reversal of 10442353920 is 2935324401.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133500 + ... + 196740.

Almost surely, 2^10442353920 is an apocalyptic number.

10442353920 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 10442353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063197536).

10442353920 is an abundant number, since it is smaller than the sum of its proper divisors (23684041152).

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

10442353920 is an equidigital number, since it uses as much as digits as its factorization.

10442353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63308 (or 63294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10442353920 in words is "ten billion, four hundred forty-two million, three hundred fifty-three thousand, nine hundred twenty".