1134114341440 has 112 divisors (see below), whose sum is σ = 2865160916352. Its totient is φ = 426110836736.

The previous prime is 1134114341431. The next prime is 1134114341449. The reversal of 1134114341440 is 441434114311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1134114341431) and next prime (1134114341449).

It is not an unprimeable number, because it can be changed into a prime (1134114341449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529087 + ... + 2943553.

It is an arithmetic number, because the mean of its divisors is an integer number (25581793896).

Almost surely, 2^{1134114341440} is an apocalyptic number.

1134114341440 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 1134114341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432580458176).

1134114341440 is an abundant number, since it is smaller than the sum of its proper divisors (1731046574912).

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

1134114341440 is a wasteful number, since it uses less digits than its factorization.

1134114341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415004 (or 414994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 1134114341440 its reverse (441434114311), we get a palindrome (1575548455751).

The spelling of 1134114341440 in words is "one trillion, one hundred thirty-four billion, one hundred fourteen million, three hundred forty-one thousand, four hundred forty".