1142102114140 has 96 divisors (see below), whose sum is σ = 2601231796800. Its totient is φ = 418709760000.

The previous prime is 1142102114093. The next prime is 1142102114149. The reversal of 1142102114140 is 414112012411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142102114149) 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 31 ways as a sum of consecutive naturals, for example, 163130640 + ... + 163137640.

It is an arithmetic number, because the mean of its divisors is an integer number (27096164550).

Almost surely, 2^{1142102114140} is an apocalyptic number.

1142102114140 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 1142102114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300615898400).

1142102114140 is an abundant number, since it is smaller than the sum of its proper divisors (1459129682660).

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

1142102114140 is a wasteful number, since it uses less digits than its factorization.

1142102114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1142102114140 its reverse (414112012411), we get a palindrome (1556214126551).

The spelling of 1142102114140 in words is "one trillion, one hundred forty-two billion, one hundred two million, one hundred fourteen thousand, one hundred forty".