1141030101040 has 80 divisors (see below), whose sum is σ = 2680465582080. Its totient is φ = 451677566720.

The previous prime is 1141030101011. The next prime is 1141030101061. The reversal of 1141030101040 is 401010301411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8243121 + ... + 8380399.

It is an arithmetic number, because the mean of its divisors is an integer number (33505819776).

Almost surely, 2^{1141030101040} is an apocalyptic number.

1141030101040 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 1141030101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340232791040).

1141030101040 is an abundant number, since it is smaller than the sum of its proper divisors (1539435481040).

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

1141030101040 is a wasteful number, since it uses less digits than its factorization.

1141030101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138370 (or 138364 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1141030101040 its reverse (401010301411), we get a palindrome (1542040402451).

The spelling of 1141030101040 in words is "one trillion, one hundred forty-one billion, thirty million, one hundred one thousand, forty".