10442300441240 has 128 divisors (see below), whose sum is σ = 24509454336000. Its totient is φ = 3999056076288.

The previous prime is 10442300441149. The next prime is 10442300441257. The reversal of 10442300441240 is 4214400324401.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300368099 + ... + 300402861.

It is an arithmetic number, because the mean of its divisors is an integer number (191480112000).

Almost surely, 2^{10442300441240} is an apocalyptic number.

10442300441240 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 10442300441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254727168000).

10442300441240 is an abundant number, since it is smaller than the sum of its proper divisors (14067153894760).

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

10442300441240 is a wasteful number, since it uses less digits than its factorization.

10442300441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36969 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10442300441240 its reverse (4214400324401), we get a palindrome (14656700765641).

The spelling of 10442300441240 in words is "ten trillion, four hundred forty-two billion, three hundred million, four hundred forty-one thousand, two hundred forty".