10442411123220 has 72 divisors (see below), whose sum is σ = 32767565954760. Its totient is φ = 2688620793600.

The previous prime is 10442411123171. The next prime is 10442411123273. The reversal of 10442411123220 is 2232111424401.

10442411123220 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 411 + 1 + 23 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2847514501764 + 7594896621456 = 1687458^2 + 2755884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000225731 + ... + 1000236170.

It is an arithmetic number, because the mean of its divisors is an integer number (455105082705).

Almost surely, 2^{10442411123220} is an apocalyptic number.

10442411123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442411123220 is an abundant number, since it is smaller than the sum of its proper divisors (22325154831540).

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

10442411123220 is a wasteful number, since it uses less digits than its factorization.

10442411123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000461945 (or 2000461940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10442411123220 its reverse (2232111424401), we get a palindrome (12674522547621).

The spelling of 10442411123220 in words is "ten trillion, four hundred forty-two billion, four hundred eleven million, one hundred twenty-three thousand, two hundred twenty".