1114200131440 has 80 divisors (see below), whose sum is σ = 2828618956800. Its totient is φ = 404790600960.

The previous prime is 1114200131437. The next prime is 1114200131459. The reversal of 1114200131440 is 441310024111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 374161 + ... + 1538959.

It is an arithmetic number, because the mean of its divisors is an integer number (35357736960).

Almost surely, 2^{1114200131440} is an apocalyptic number.

1114200131440 is a gapful number since it is divisible by the number (10) 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 1114200131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414309478400).

1114200131440 is an abundant number, since it is smaller than the sum of its proper divisors (1714418825360).

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

1114200131440 is a wasteful number, since it uses less digits than its factorization.

1114200131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165910 (or 1165904 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1114200131440 its reverse (441310024111), we get a palindrome (1555510155551).

The spelling of 1114200131440 in words is "one trillion, one hundred fourteen billion, two hundred million, one hundred thirty-one thousand, four hundred forty".