1140169000000 has 196 divisors, whose sum is σ = 2897200024740. Its totient is φ = 444928000000.

The previous prime is 1140168999989. The next prime is 1140169000027. The reversal of 1140169000000 is 9610411.

It can be written as a sum of positive squares in 14 ways, for example, as 775865012224 + 364303987776 = 880832^2 + 603576^2 .

It is a super-2 number, since 2×1140169000000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 40986096 + ... + 41013904.

Almost surely, 2^{1140169000000} is an apocalyptic number.

1140169000000 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 1140169000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448600012370).

1140169000000 is an abundant number, since it is smaller than the sum of its proper divisors (1757031024740).

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

1140169000000 is an frugal number, since it uses more digits than its factorization.

1140169000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27892 (or 27857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 1140169000000 in words is "one trillion, one hundred forty billion, one hundred sixty-nine million", and thus it is an aban number.