1291384416000 has 432 divisors, whose sum is σ = 4989650833440. Its totient is φ = 295172505600.

The previous prime is 1291384415969. The next prime is 1291384416001. The reversal of 1291384416000 is 6144831921.

It is a super-2 number, since 2×1291384416000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1291384416000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291384416001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4566736 + ... + 4841264.

It is an arithmetic number, because the mean of its divisors is an integer number (11550117670).

Almost surely, 2^{1291384416000} is an apocalyptic number.

1291384416000 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 1291384416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494825416720).

1291384416000 is an abundant number, since it is smaller than the sum of its proper divisors (3698266417440).

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

1291384416000 is an equidigital number, since it uses as much as digits as its factorization.

1291384416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274577 (or 274546 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1291384416000 in words is "one trillion, two hundred ninety-one billion, three hundred eighty-four million, four hundred sixteen thousand".