1296876721140 has 1728 divisors, whose sum is σ = 5691949885440. Its totient is φ = 234565632000.

The previous prime is 1296876721103. The next prime is 1296876721157. The reversal of 1296876721140 is 411276786921.

1296876721140 is a `hidden beast` number, since 1 + 296 + 87 + 67 + 211 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1603061056 + ... + 1603061864.

It is an arithmetic number, because the mean of its divisors is an integer number (3293952480).

Almost surely, 2^{1296876721140} is an apocalyptic number.

1296876721140 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 1296876721140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845974942720).

1296876721140 is an abundant number, since it is smaller than the sum of its proper divisors (4395073164300).

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

1296876721140 is a wasteful number, since it uses less digits than its factorization.

1296876721140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1296876721140 in words is "one trillion, two hundred ninety-six billion, eight hundred seventy-six million, seven hundred twenty-one thousand, one hundred forty".