1141020304140 has 192 divisors, whose sum is σ = 3425710579200. Its totient is φ = 282744606720.

The previous prime is 1141020304129. The next prime is 1141020304219. The reversal of 1141020304140 is 414030201411.

It is a super-2 number, since 2×1141020304140² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177698130 + ... + 177704550.

It is an arithmetic number, because the mean of its divisors is an integer number (17842242600).

Almost surely, 2^{1141020304140} is an apocalyptic number.

1141020304140 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 1141020304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712855289600).

1141020304140 is an abundant number, since it is smaller than the sum of its proper divisors (2284690275060).

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

1141020304140 is a wasteful number, since it uses less digits than its factorization.

1141020304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1141020304140 its reverse (414030201411), we get a palindrome (1555050505551).

The spelling of 1141020304140 in words is "one trillion, one hundred forty-one billion, twenty million, three hundred four thousand, one hundred forty".