10442410400112 has 80 divisors (see below), whose sum is σ = 27366225354240. Its totient is φ = 3430637623296.

The previous prime is 10442410400111. The next prime is 10442410400129. The reversal of 10442410400112 is 21100401424401.

It is a super-2 number, since 2×10442410400112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442410400111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310753 + ... + 4580544.

It is an arithmetic number, because the mean of its divisors is an integer number (342077816928).

Almost surely, 2^{10442410400112} is an apocalyptic number.

10442410400112 is a gapful number since it is divisible by the number (12) 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 10442410400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683112677120).

10442410400112 is an abundant number, since it is smaller than the sum of its proper divisors (16923814954128).

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

10442410400112 is a wasteful number, since it uses less digits than its factorization.

10442410400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891950 (or 4891944 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10442410400112 its reverse (21100401424401), we get a palindrome (31542811824513).

The spelling of 10442410400112 in words is "ten trillion, four hundred forty-two billion, four hundred ten million, four hundred thousand, one hundred twelve".