1042114440311 has 24 divisors (see below), whose sum is σ = 1214313408000. Its totient is φ = 891725635584.

The previous prime is 1042114440299. The next prime is 1042114440317. The reversal of 1042114440311 is 1130444112401.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1042114440311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042114440317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148045130 + ... + 148052168.

It is an arithmetic number, because the mean of its divisors is an integer number (50596392000).

Almost surely, 2^{1042114440311} is an apocalyptic number.

1042114440311 is a deficient number, since it is larger than the sum of its proper divisors (172198967689).

1042114440311 is an equidigital number, since it uses as much as digits as its factorization.

1042114440311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1042114440311 its reverse (1130444112401), we get a palindrome (2172558552712).

The spelling of 1042114440311 in words is "one trillion, forty-two billion, one hundred fourteen million, four hundred forty thousand, three hundred eleven".