1131158945840 has 480 divisors, whose sum is σ = 3682249320960. Its totient is φ = 314358865920.

The previous prime is 1131158945827. The next prime is 1131158945849. The reversal of 1131158945840 is 485498511311.

It is not an unprimeable number, because it can be changed into a prime (1131158945849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21860639 + ... + 21912321.

It is an arithmetic number, because the mean of its divisors is an integer number (7671352752).

Almost surely, 2^{1131158945840} is an apocalyptic number.

1131158945840 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 1131158945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841124660480).

1131158945840 is an abundant number, since it is smaller than the sum of its proper divisors (2551090375120).

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

1131158945840 is a wasteful number, since it uses less digits than its factorization.

1131158945840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51761 (or 51744 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 50.

The spelling of 1131158945840 in words is "one trillion, one hundred thirty-one billion, one hundred fifty-eight million, nine hundred forty-five thousand, eight hundred forty".