1014404110144 has 112 divisors (see below), whose sum is σ = 2120682332160. Its totient is φ = 480500190720.

The previous prime is 1014404110127. The next prime is 1014404110169. The reversal of 1014404110144 is 4410114044101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88180297 + ... + 88191799.

It is an arithmetic number, because the mean of its divisors is an integer number (18934663680).

Almost surely, 2^{1014404110144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014404110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060341166080).

1014404110144 is an abundant number, since it is smaller than the sum of its proper divisors (1106278222016).

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

1014404110144 is a wasteful number, since it uses less digits than its factorization.

1014404110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12098 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1014404110144 its reverse (4410114044101), we get a palindrome (5424518154245).

The spelling of 1014404110144 in words is "one trillion, fourteen billion, four hundred four million, one hundred ten thousand, one hundred forty-four".