1291434653376 has 280 divisors, whose sum is σ = 4476857045760. Its totient is φ = 360399932928.

The previous prime is 1291434653329. The next prime is 1291434653437. The reversal of 1291434653376 is 6733564341921.

1291434653376 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 4 + 34 + 6 + 533 + 76 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1146565 + ... + 1974203.

Almost surely, 2^{1291434653376} is an apocalyptic number.

1291434653376 is a gapful number since it is divisible by the number (16) 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 1291434653376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238428522880).

1291434653376 is an abundant number, since it is smaller than the sum of its proper divisors (3185422392384).

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

1291434653376 is an equidigital number, since it uses as much as digits as its factorization.

1291434653376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827713 (or 827694 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 1291434653376 in words is "one trillion, two hundred ninety-one billion, four hundred thirty-four million, six hundred fifty-three thousand, three hundred seventy-six".