10442010323040 has 96 divisors (see below), whose sum is σ = 32893063912800. Its totient is φ = 2784474169344.

The previous prime is 10442010322999. The next prime is 10442010323071. The reversal of 10442010323040 is 4032301024401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10442010323040.

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, 23868186 + ... + 24301734.

It is an arithmetic number, because the mean of its divisors is an integer number (342636082425).

Almost surely, 2^{10442010323040} is an apocalyptic number.

10442010323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442010323040 is an abundant number, since it is smaller than the sum of its proper divisors (22451053589760).

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

10442010323040 is a wasteful number, since it uses less digits than its factorization.

10442010323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483744 (or 483736 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10442010323040 its reverse (4032301024401), we get a palindrome (14474311347441).

The spelling of 10442010323040 in words is "ten trillion, four hundred forty-two billion, ten million, three hundred twenty-three thousand, forty".