1141311456180 has 144 divisors (see below), whose sum is σ = 3966514231680. Its totient is φ = 260213969664.

The previous prime is 1141311456167. The next prime is 1141311456199. The reversal of 1141311456180 is 816541131411.

1141311456180 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 1 + 14 + 561 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640590 + ... + 1641029.

It is an arithmetic number, because the mean of its divisors is an integer number (27545237720).

Almost surely, 2^{1141311456180} is an apocalyptic number.

1141311456180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141311456180 is an abundant number, since it is smaller than the sum of its proper divisors (2825202775500).

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

1141311456180 is a wasteful number, since it uses less digits than its factorization.

1141311456180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282038 (or 2282033 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 1141311456180 its reverse (816541131411), we get a palindrome (1957852587591).

The spelling of 1141311456180 in words is "one trillion, one hundred forty-one billion, three hundred eleven million, four hundred fifty-six thousand, one hundred eighty".