1286715978240 has 1920 divisors, whose sum is σ = 5554506203136. Its totient is φ = 250822656000.

The previous prime is 1286715978173. The next prime is 1286715978253. The reversal of 1286715978240 is 428795176821.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 4748029305 + ... + 4748029575.

Almost surely, 2^{1286715978240} is an apocalyptic number.

1286715978240 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 1286715978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777253101568).

1286715978240 is an abundant number, since it is smaller than the sum of its proper divisors (4267790224896).

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

1286715978240 is a wasteful number, since it uses less digits than its factorization.

1286715978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 1286715978240 in words is "one trillion, two hundred eighty-six billion, seven hundred fifteen million, nine hundred seventy-eight thousand, two hundred forty".