2441114431104 has 128 divisors (see below), whose sum is σ = 6766993082880. Its totient is φ = 778227338240.

The previous prime is 2441114431073. The next prime is 2441114431109. The reversal of 2441114431104 is 4011344111442.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2441114431109) 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 15 ways as a sum of consecutive naturals, for example, 104797699 + ... + 104820989.

It is an arithmetic number, because the mean of its divisors is an integer number (52867133460).

Almost surely, 2^{2441114431104} is an apocalyptic number.

2441114431104 is a gapful number since it is divisible by the number (24) 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 2441114431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383496541440).

2441114431104 is an abundant number, since it is smaller than the sum of its proper divisors (4325878651776).

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

2441114431104 is a wasteful number, since it uses less digits than its factorization.

2441114431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35198 (or 35186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 2441114431104 its reverse (4011344111442), we get a palindrome (6452458542546).

The spelling of 2441114431104 in words is "two trillion, four hundred forty-one billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred four".