1141066967040 has 4608 divisors, whose sum is σ = 6023227392000. Its totient is φ = 200658124800.

The previous prime is 1141066967011. The next prime is 1141066967041. The reversal of 1141066967040 is 407696601411.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141066967041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36808611825 + ... + 36808611855.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124000).

Almost surely, 2^{1141066967040} is an apocalyptic number.

1141066967040 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 1141066967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011613696000).

1141066967040 is an abundant number, since it is smaller than the sum of its proper divisors (4882160424960).

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

1141066967040 is a wasteful number, since it uses less digits than its factorization.

1141066967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1141066967040 in words is "one trillion, one hundred forty-one billion, sixty-six million, nine hundred sixty-seven thousand, forty".