44103344330144 has 96 divisors (see below), whose sum is σ = 95038493501952. Its totient is φ = 19980094176000.

The previous prime is 44103344330117. The next prime is 44103344330189.

44103344330144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44103344330144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44103344330098 and 44103344330107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126652079 + ... + 126999825.

It is an arithmetic number, because the mean of its divisors is an integer number (989984307312).

Almost surely, 2^{44103344330144} is an apocalyptic number.

44103344330144 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 44103344330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47519246750976).

44103344330144 is an abundant number, since it is smaller than the sum of its proper divisors (50935149171808).

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

44103344330144 is a wasteful number, since it uses less digits than its factorization.

44103344330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348970 (or 348962 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4410334 and 4330144, that added together give a palindrome (8740478).

The spelling of 44103344330144 in words is "forty-four trillion, one hundred three billion, three hundred forty-four million, three hundred thirty thousand, one hundred forty-four".