1032140241314 has 192 divisors, whose sum is σ = 2105444689920. Its totient is φ = 369890426880.

The previous prime is 1032140241311. The next prime is 1032140241323. The reversal of 1032140241314 is 4131420412301.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1032140241311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 240646082 + ... + 240650370.

It is an arithmetic number, because the mean of its divisors is an integer number (10965857760).

Almost surely, 2^{1032140241314} is an apocalyptic number.

1032140241314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1032140241314 is an abundant number, since it is smaller than the sum of its proper divisors (1073304448606).

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

1032140241314 is a wasteful number, since it uses less digits than its factorization.

1032140241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1032140241314 its reverse (4131420412301), we get a palindrome (5163560653615).

The spelling of 1032140241314 in words is "one trillion, thirty-two billion, one hundred forty million, two hundred forty-one thousand, three hundred fourteen".