1141166231520 has 384 divisors, whose sum is σ = 4344169439232. Its totient is φ = 246266265600.

The previous prime is 1141166231441. The next prime is 1141166231531. The reversal of 1141166231520 is 251326611411.

It is a congruent number.

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, 4136952 + ... + 4404168.

It is an arithmetic number, because the mean of its divisors is an integer number (11312941248).

Almost surely, 2^{1141166231520} is an apocalyptic number.

1141166231520 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 1141166231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172084719616).

1141166231520 is an abundant number, since it is smaller than the sum of its proper divisors (3203003207712).

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

1141166231520 is a wasteful number, since it uses less digits than its factorization.

1141166231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267314 (or 267306 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

It can be divided in two parts, 1141 and 166231520, that added together give a palindrome (166232661).

The spelling of 1141166231520 in words is "one trillion, one hundred forty-one billion, one hundred sixty-six million, two hundred thirty-one thousand, five hundred twenty".