1142134005040 has 40 divisors (see below), whose sum is σ = 3034813214880. Its totient is φ = 391588801536.

The previous prime is 1142134005011. The next prime is 1142134005041. The reversal of 1142134005040 is 405004312411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1142134004996 and 1142134005014.

It is not an unprimeable number, because it can be changed into a prime (1142134005041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019761945 + ... + 1019763064.

It is an arithmetic number, because the mean of its divisors is an integer number (75870330372).

Almost surely, 2^{1142134005040} is an apocalyptic number.

1142134005040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142134005040 is an abundant number, since it is smaller than the sum of its proper divisors (1892679209840).

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

1142134005040 is a wasteful number, since it uses less digits than its factorization.

1142134005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039525029 (or 2039525023 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1142134005040 its reverse (405004312411), we get a palindrome (1547138317451).

The spelling of 1142134005040 in words is "one trillion, one hundred forty-two billion, one hundred thirty-four million, five thousand, forty".