1142040410000 has 400 divisors, whose sum is σ = 3333912806400. Its totient is φ = 370101312000.

The previous prime is 1142040409967. The next prime is 1142040410003. The reversal of 1142040410000 is 140402411.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (1142040410003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 876469349 + ... + 876470651.

It is an arithmetic number, because the mean of its divisors is an integer number (8334782016).

Almost surely, 2^{1142040410000} is an apocalyptic number.

1142040410000 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 1142040410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666956403200).

1142040410000 is an abundant number, since it is smaller than the sum of its proper divisors (2191872396400).

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

1142040410000 is a wasteful number, since it uses less digits than its factorization.

1142040410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1142040410000 its reverse (140402411), we get a palindrome (1142180812411).

The spelling of 1142040410000 in words is "one trillion, one hundred forty-two billion, forty million, four hundred ten thousand".