44413355331444 has 192 divisors, whose sum is σ = 117893617938432. Its totient is φ = 12896949196800.

The previous prime is 44413355331437. The next prime is 44413355331461.

44413355331444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44413355331444² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44413355331393 and 44413355331402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61688299 + ... + 62404109.

It is an arithmetic number, because the mean of its divisors is an integer number (614029260096).

Almost surely, 2^{44413355331444} is an apocalyptic number.

44413355331444 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 44413355331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58946808969216).

44413355331444 is an abundant number, since it is smaller than the sum of its proper divisors (73480262606988).

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

44413355331444 is a wasteful number, since it uses less digits than its factorization.

44413355331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716086 (or 716084 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 4441335 and 5331444, that added together give a palindrome (9772779).

The spelling of 44413355331444 in words is "forty-four trillion, four hundred thirteen billion, three hundred fifty-five million, three hundred thirty-one thousand, four hundred forty-four".