1291295416320 has 2520 divisors, whose sum is σ = 5955212111904. Its totient is φ = 266652352512.

The previous prime is 1291295416309. The next prime is 1291295416361. The reversal of 1291295416320 is 236145921921.

It is a happy number.

1291295416320 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 2 + 9 + 5 + 4 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27474370537 + ... + 27474370583.

Almost surely, 2^{1291295416320} is an apocalyptic number.

1291295416320 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 1291295416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977606055952).

1291295416320 is an abundant number, since it is smaller than the sum of its proper divisors (4663916695584).

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

1291295416320 is an equidigital number, since it uses as much as digits as its factorization.

1291295416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1291295416320 in words is "one trillion, two hundred ninety-one billion, two hundred ninety-five million, four hundred sixteen thousand, three hundred twenty".