1281988302336 has 960 divisors, whose sum is σ = 4876498598400. Its totient is φ = 315256209408.

The previous prime is 1281988302323. The next prime is 1281988302349. The reversal of 1281988302336 is 6332038891821.

It is an interprime number because it is at equal distance from previous prime (1281988302323) and next prime (1281988302349).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 302139831 + ... + 302144073.

It is an arithmetic number, because the mean of its divisors is an integer number (5079686040).

Almost surely, 2^{1281988302336} is an apocalyptic number.

1281988302336 is a gapful number since it is divisible by the number (16) 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 1281988302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438249299200).

1281988302336 is an abundant number, since it is smaller than the sum of its proper divisors (3594510296064).

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

1281988302336 is a wasteful number, since it uses less digits than its factorization.

1281988302336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1281988302336 in words is "one trillion, two hundred eighty-one billion, nine hundred eighty-eight million, three hundred two thousand, three hundred thirty-six".