44135355353144 has 256 divisors, whose sum is σ = 96458713989120. Its totient is φ = 18744048000000.

The previous prime is 44135355353129. The next prime is 44135355353227.

44135355353144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44135355353092 and 44135355353101.

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, 4576927187 + ... + 4576936829.

It is an arithmetic number, because the mean of its divisors is an integer number (376791851520).

Almost surely, 2^{44135355353144} is an apocalyptic number.

44135355353144 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 44135355353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48229356994560).

44135355353144 is an abundant number, since it is smaller than the sum of its proper divisors (52323358635976).

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

44135355353144 is a wasteful number, since it uses less digits than its factorization.

44135355353144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10150 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 50.

It can be divided in two parts, 4413535 and 5353144, that added together give a palindrome (9766679).

The spelling of 44135355353144 in words is "forty-four trillion, one hundred thirty-five billion, three hundred fifty-five million, three hundred fifty-three thousand, one hundred forty-four".