1291119726624 has 864 divisors, whose sum is σ = 4488491677824. Its totient is φ = 323251568640.

The previous prime is 1291119726619. The next prime is 1291119726643. The reversal of 1291119726624 is 4266279111921.

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 143 ways as a sum of consecutive naturals, for example, 4406551822 + ... + 4406552114.

It is an arithmetic number, because the mean of its divisors is an integer number (5195013516).

Almost surely, 2^{1291119726624} is an apocalyptic number.

1291119726624 is a gapful number since it is divisible by the number (14) 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 1291119726624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244245838912).

1291119726624 is an abundant number, since it is smaller than the sum of its proper divisors (3197371951200).

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

1291119726624 is a wasteful number, since it uses less digits than its factorization.

1291119726624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 582 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The spelling of 1291119726624 in words is "one trillion, two hundred ninety-one billion, one hundred nineteen million, seven hundred twenty-six thousand, six hundred twenty-four".