1034004001110 has 128 divisors (see below), whose sum is σ = 2549455534080. Its totient is φ = 268270339584.

The previous prime is 1034004001033. The next prime is 1034004001117. The reversal of 1034004001110 is 111004004301.

It is a super-2 number, since 2×1034004001110² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1034004001110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034004001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182393356 + ... + 182399024.

It is an arithmetic number, because the mean of its divisors is an integer number (19917621360).

Almost surely, 2^{1034004001110} is an apocalyptic number.

1034004001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034004001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274727767040).

1034004001110 is an abundant number, since it is smaller than the sum of its proper divisors (1515451532970).

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

1034004001110 is a wasteful number, since it uses less digits than its factorization.

1034004001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1034004001110 its reverse (111004004301), we get a palindrome (1145008005411).

The spelling of 1034004001110 in words is "one trillion, thirty-four billion, four million, one thousand, one hundred ten".