1141505667120 has 640 divisors, whose sum is σ = 4441215744000. Its totient is φ = 236115984384.

The previous prime is 1141505667101. The next prime is 1141505667121. The reversal of 1141505667120 is 217665051411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1141505667121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 578562454 + ... + 578564426.

It is an arithmetic number, because the mean of its divisors is an integer number (6939399600).

Almost surely, 2^{1141505667120} is an apocalyptic number.

1141505667120 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 1141505667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220607872000).

1141505667120 is an abundant number, since it is smaller than the sum of its proper divisors (3299710076880).

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

1141505667120 is a wasteful number, since it uses less digits than its factorization.

1141505667120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 1141505667120 in words is "one trillion, one hundred forty-one billion, five hundred five million, six hundred sixty-seven thousand, one hundred twenty".