1276540980480 has 432 divisors, whose sum is σ = 4614186560256. Its totient is φ = 325225021440.

The previous prime is 1276540980469. The next prime is 1276540980499. The reversal of 1276540980480 is 840890456721.

It is a happy number.

1276540980480 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 540 + 98 + 0 + 4 + 8 + 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273171424 + ... + 273176096.

It is an arithmetic number, because the mean of its divisors is an integer number (10680987408).

Almost surely, 2^{1276540980480} is an apocalyptic number.

1276540980480 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 1276540980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307093280128).

1276540980480 is an abundant number, since it is smaller than the sum of its proper divisors (3337645579776).

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

1276540980480 is a wasteful number, since it uses less digits than its factorization.

1276540980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1276540980480 in words is "one trillion, two hundred seventy-six billion, five hundred forty million, nine hundred eighty thousand, four hundred eighty".