1131034344440 has 768 divisors, whose sum is σ = 3707263365120. Its totient is φ = 304559861760.

The previous prime is 1131034344437. The next prime is 1131034344449. The reversal of 1131034344440 is 444434301311.

It is a junction number, because it is equal to n+sod(n) for n = 1131034344397 and 1131034344406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131034344449) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302980814 + ... + 302984546.

It is an arithmetic number, because the mean of its divisors is an integer number (4827165840).

Almost surely, 2^{1131034344440} is an apocalyptic number.

1131034344440 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 1131034344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853631682560).

1131034344440 is an abundant number, since it is smaller than the sum of its proper divisors (2576229020680).

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

1131034344440 is a wasteful number, since it uses less digits than its factorization.

1131034344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1131034344440 its reverse (444434301311), we get a palindrome (1575468645751).

The spelling of 1131034344440 in words is "one trillion, one hundred thirty-one billion, thirty-four million, three hundred forty-four thousand, four hundred forty".