10442015013444 has 48 divisors (see below), whose sum is σ = 27966968937600. Its totient is φ = 2970404764416.

The previous prime is 10442015013433. The next prime is 10442015013481. The reversal of 10442015013444 is 44431051024401.

10442015013444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10442015013444² (a number of 27 digits) contains 22 as substring.

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, 271399329 + ... + 271437800.

It is an arithmetic number, because the mean of its divisors is an integer number (582645186200).

Almost surely, 2^{10442015013444} is an apocalyptic number.

10442015013444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10442015013444 is an abundant number, since it is smaller than the sum of its proper divisors (17524953924156).

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

10442015013444 is a wasteful number, since it uses less digits than its factorization.

10442015013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542837372 (or 542837370 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 10442015013444 its reverse (44431051024401), we get a palindrome (54873066037845).

The spelling of 10442015013444 in words is "ten trillion, four hundred forty-two billion, fifteen million, thirteen thousand, four hundred forty-four".