1278287288928 has 288 divisors, whose sum is σ = 4176421754400. Its totient is φ = 379755177984.

The previous prime is 1278287288869. The next prime is 1278287288951. The reversal of 1278287288928 is 8298827828721.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4083526 + ... + 4385402.

It is an arithmetic number, because the mean of its divisors is an integer number (14501464425).

Almost surely, 2^{1278287288928} is an apocalyptic number.

1278287288928 is a gapful number since it is divisible by the number (18) 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 1278287288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088210877200).

1278287288928 is an abundant number, since it is smaller than the sum of its proper divisors (2898134465472).

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

1278287288928 is a wasteful number, since it uses less digits than its factorization.

1278287288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301951 (or 301924 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 72.

The spelling of 1278287288928 in words is "one trillion, two hundred seventy-eight billion, two hundred eighty-seven million, two hundred eighty-eight thousand, nine hundred twenty-eight".