1142041341100 has 144 divisors (see below), whose sum is σ = 2844155462400. Its totient is φ = 394170784000.

The previous prime is 1142041341079. The next prime is 1142041341101. The reversal of 1142041341100 is 11431402411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1142041341101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578705 + ... + 2185495.

It is an arithmetic number, because the mean of its divisors is an integer number (19751079600).

Almost surely, 2^{1142041341100} is an apocalyptic number.

1142041341100 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 1142041341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422077731200).

1142041341100 is an abundant number, since it is smaller than the sum of its proper divisors (1702114121300).

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

1142041341100 is a wasteful number, since it uses less digits than its factorization.

1142041341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606904 (or 606897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1142041341100 its reverse (11431402411), we get a palindrome (1153472743511).

The spelling of 1142041341100 in words is "one trillion, one hundred forty-two billion, forty-one million, three hundred forty-one thousand, one hundred".