10432442213140 has 192 divisors, whose sum is σ = 23270659776000. Its totient is φ = 3922658969600.

The previous prime is 10432442213113. The next prime is 10432442213143. The reversal of 10432442213140 is 4131224423401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432442213143) 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, 1592492865 + ... + 1592499415.

It is an arithmetic number, because the mean of its divisors is an integer number (121201353000).

Almost surely, 2^{10432442213140} is an apocalyptic number.

10432442213140 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 10432442213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635329888000).

10432442213140 is an abundant number, since it is smaller than the sum of its proper divisors (12838217562860).

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

10432442213140 is a wasteful number, since it uses less digits than its factorization.

10432442213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 10432442213140 its reverse (4131224423401), we get a palindrome (14563666636541).

The spelling of 10432442213140 in words is "ten trillion, four hundred thirty-two billion, four hundred forty-two million, two hundred thirteen thousand, one hundred forty".