10432442310020 has 192 divisors, whose sum is σ = 24063889038336. Its totient is φ = 3783784243200.

The previous prime is 10432442309941. The next prime is 10432442310023. The reversal of 10432442310020 is 2001324423401.

10432442310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10432442310020³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10432442310023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279199859 + ... + 279237221.

It is an arithmetic number, because the mean of its divisors is an integer number (125332755408).

Almost surely, 2^{10432442310020} is an apocalyptic number.

10432442310020 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 10432442310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031944519168).

10432442310020 is an abundant number, since it is smaller than the sum of its proper divisors (13631446728316).

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

10432442310020 is a wasteful number, since it uses less digits than its factorization.

10432442310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37710 (or 37708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10432442310020 its reverse (2001324423401), we get a palindrome (12433766733421).

The spelling of 10432442310020 in words is "ten trillion, four hundred thirty-two billion, four hundred forty-two million, three hundred ten thousand, twenty".