1291129741440 has 1728 divisors, whose sum is σ = 6014392300800. Its totient is φ = 252329656320.

The previous prime is 1291129741417. The next prime is 1291129741463. The reversal of 1291129741440 is 441479211921.

1291129741440 is a `hidden beast` number, since 1 + 2 + 9 + 112 + 97 + 4 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1291129741417) and next prime (1291129741463).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 897240241 + ... + 897241679.

It is an arithmetic number, because the mean of its divisors is an integer number (3480551100).

Almost surely, 2^{1291129741440} is an apocalyptic number.

1291129741440 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 1291129741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007196150400).

1291129741440 is an abundant number, since it is smaller than the sum of its proper divisors (4723262559360).

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

1291129741440 is a wasteful number, since it uses less digits than its factorization.

1291129741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1291129741440 in words is "one trillion, two hundred ninety-one billion, one hundred twenty-nine million, seven hundred forty-one thousand, four hundred forty".