44111334113000 has 512 divisors, whose sum is σ = 130043484979200. Its totient is φ = 13604742144000.

The previous prime is 44111334112991. The next prime is 44111334113009. The reversal of 44111334113000 is 31143311144.

It is an interprime number because it is at equal distance from previous prime (44111334112991) and next prime (44111334113009).

It is not an unprimeable number, because it can be changed into a prime (44111334113009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8560318424 + ... + 8560323576.

It is an arithmetic number, because the mean of its divisors is an integer number (253991181600).

Almost surely, 2^{44111334113000} is an apocalyptic number.

44111334113000 is a gapful number since it is divisible by the number (40) 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 44111334113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65021742489600).

44111334113000 is an abundant number, since it is smaller than the sum of its proper divisors (85932150866200).

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

44111334113000 is a wasteful number, since it uses less digits than its factorization.

44111334113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 44111334113000 its reverse (31143311144), we get a palindrome (44142477424144).

The spelling of 44111334113000 in words is "forty-four trillion, one hundred eleven billion, three hundred thirty-four million, one hundred thirteen thousand".