44442133124444 has 48 divisors (see below), whose sum is σ = 86890931753472. Its totient is φ = 19719256200000.

The previous prime is 44442133124423. The next prime is 44442133124449.

44442133124444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44442133124444³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44442133124395 and 44442133124404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442133124449) 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, 70110392 + ... + 70741439.

It is an arithmetic number, because the mean of its divisors is an integer number (1810227744864).

Almost surely, 2^{44442133124444} is an apocalyptic number.

44442133124444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44442133124444 is a deficient number, since it is larger than the sum of its proper divisors (42448798629028).

44442133124444 is a wasteful number, since it uses less digits than its factorization.

44442133124444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140852018 (or 140852016 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 4444213 and 3124444, that added together give a palindrome (7568657).

The spelling of 44442133124444 in words is "forty-four trillion, four hundred forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, four hundred forty-four".