1141005065340 has 384 divisors, whose sum is σ = 3992521881600. Its totient is φ = 242496393216.

The previous prime is 1141005065339. The next prime is 1141005065353. The reversal of 1141005065340 is 435605001411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1141005065298 and 1141005065307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29018734 + ... + 29058026.

It is an arithmetic number, because the mean of its divisors is an integer number (10397192400).

Almost surely, 2^{1141005065340} is an apocalyptic number.

1141005065340 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 1141005065340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996260940800).

1141005065340 is an abundant number, since it is smaller than the sum of its proper divisors (2851516816260).

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

1141005065340 is a wasteful number, since it uses less digits than its factorization.

1141005065340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39426 (or 39410 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1141005065340 in words is "one trillion, one hundred forty-one billion, five million, sixty-five thousand, three hundred forty".