44334311343344 has 40 divisors (see below), whose sum is σ = 93707460410112. Its totient is φ = 20151777379520.

The previous prime is 44334311343341. The next prime is 44334311343347.

44334311343344 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44334311343341) and next prime (44334311343347).

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 = 44334311343295 and 44334311343304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44334311343341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19419737 + ... + 21582279.

Almost surely, 2^{44334311343344} is an apocalyptic number.

44334311343344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44334311343344 is an abundant number, since it is smaller than the sum of its proper divisors (49373149066768).

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

44334311343344 is a wasteful number, since it uses less digits than its factorization.

44334311343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279045 (or 2279039 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 4433431 and 1343344, that added together give a palindrome (5776775).

The spelling of 44334311343344 in words is "forty-four trillion, three hundred thirty-four billion, three hundred eleven million, three hundred forty-three thousand, three hundred forty-four".