1042141414132 has 192 divisors, whose sum is σ = 2345173254144. Its totient is φ = 394157767680.

The previous prime is 1042141414129. The next prime is 1042141414133. The reversal of 1042141414132 is 2314141412401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1042141414132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042141414133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344735973 + ... + 344738995.

It is an arithmetic number, because the mean of its divisors is an integer number (12214444032).

Almost surely, 2^{1042141414132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042141414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172586627072).

1042141414132 is an abundant number, since it is smaller than the sum of its proper divisors (1303031840012).

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

1042141414132 is a wasteful number, since it uses less digits than its factorization.

1042141414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1042141414132 its reverse (2314141412401), we get a palindrome (3356282826533).

The spelling of 1042141414132 in words is "one trillion, forty-two billion, one hundred forty-one million, four hundred fourteen thousand, one hundred thirty-two".