1103414110344 has 288 divisors, whose sum is σ = 3835236525120. Its totient is φ = 291009708288.

The previous prime is 1103414110333. The next prime is 1103414110349. The reversal of 1103414110344 is 4430114143011.

1103414110344 is a `hidden beast` number, since 1 + 103 + 414 + 1 + 103 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1103414110349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059854 + ... + 2539650.

It is an arithmetic number, because the mean of its divisors is an integer number (13316793490).

Almost surely, 2^{1103414110344} is an apocalyptic number.

1103414110344 is a gapful number since it is divisible by the number (14) 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 1103414110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917618262560).

1103414110344 is an abundant number, since it is smaller than the sum of its proper divisors (2731822414776).

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

1103414110344 is a wasteful number, since it uses less digits than its factorization.

1103414110344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479851 (or 479822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1103414110344 its reverse (4430114143011), we get a palindrome (5533528253355).

The spelling of 1103414110344 in words is "one trillion, one hundred three billion, four hundred fourteen million, one hundred ten thousand, three hundred forty-four".