1276488744960 has 1152 divisors, whose sum is σ = 4900013153280. Its totient is φ = 283398635520.

The previous prime is 1276488744931. The next prime is 1276488744977. The reversal of 1276488744960 is 694478846721.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1276488744891 and 1276488744900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10051092417 + ... + 10051092543.

It is an arithmetic number, because the mean of its divisors is an integer number (4253483640).

Almost surely, 2^{1276488744960} is an apocalyptic number.

1276488744960 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 1276488744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450006576640).

1276488744960 is an abundant number, since it is smaller than the sum of its proper divisors (3623524408320).

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

1276488744960 is a wasteful number, since it uses less digits than its factorization.

1276488744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 1276488744960 in words is "one trillion, two hundred seventy-six billion, four hundred eighty-eight million, seven hundred forty-four thousand, nine hundred sixty".