44414133141444 has 48 divisors (see below), whose sum is σ = 114219663894336. Its totient is φ = 13320077414400.

The previous prime is 44414133141373. The next prime is 44414133141463.

44414133141444 is nontrivially palindromic in base 10.

44414133141444 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 2×44414133141444² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44414133141396 and 44414133141405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734372277 + ... + 1734397884.

It is an arithmetic number, because the mean of its divisors is an integer number (2379576331132).

Almost surely, 2^{44414133141444} is an apocalyptic number.

44414133141444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44414133141444 is an abundant number, since it is smaller than the sum of its proper divisors (69805530752892).

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

44414133141444 is a wasteful number, since it uses less digits than its factorization.

44414133141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468770276 (or 3468770274 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4441413 and 3141444, that added together give a palindrome (7582857).

The spelling of 44414133141444 in words is "forty-four trillion, four hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, four hundred forty-four".