44002144120044 has 96 divisors (see below), whose sum is σ = 112867186037760. Its totient is φ = 13231408507200.

The previous prime is 44002144119977. The next prime is 44002144120091.

44002144120044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44002144120044² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44002144119993 and 44002144120020.

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 31 ways as a sum of consecutive naturals, for example, 332268747 + ... + 332401149.

It is an arithmetic number, because the mean of its divisors is an integer number (1175699854560).

Almost surely, 2^{44002144120044} is an apocalyptic number.

44002144120044 is a gapful number since it is divisible by the number (44) 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 44002144120044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56433593018880).

44002144120044 is an abundant number, since it is smaller than the sum of its proper divisors (68865041917716).

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

44002144120044 is a wasteful number, since it uses less digits than its factorization.

44002144120044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151771 (or 151769 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4400214 and 4120044, that added together give a palindrome (8520258).

The spelling of 44002144120044 in words is "forty-four trillion, two billion, one hundred forty-four million, one hundred twenty thousand, forty-four".