1286809328640 has 528 divisors, whose sum is σ = 4720806203904. Its totient is φ = 298380656640.

The previous prime is 1286809328603. The next prime is 1286809328657. The reversal of 1286809328640 is 468239086821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42731829 + ... + 42761931.

Almost surely, 2^{1286809328640} is an apocalyptic number.

1286809328640 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 1286809328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360403101952).

1286809328640 is an abundant number, since it is smaller than the sum of its proper divisors (3433996875264).

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

1286809328640 is a wasteful number, since it uses less digits than its factorization.

1286809328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30176 (or 30147 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1286809328640 in words is "one trillion, two hundred eighty-six billion, eight hundred nine million, three hundred twenty-eight thousand, six hundred forty".