1287296418240 has 896 divisors, whose sum is σ = 5588754278400. Its totient is φ = 272224419840.

The previous prime is 1287296418217. The next prime is 1287296418251. The reversal of 1287296418240 is 428146927821.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 60650830 + ... + 60672050.

Almost surely, 2^{1287296418240} is an apocalyptic number.

1287296418240 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 1287296418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794377139200).

1287296418240 is an abundant number, since it is smaller than the sum of its proper divisors (4301457860160).

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

1287296418240 is a wasteful number, since it uses less digits than its factorization.

1287296418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 21314 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1287296418240 in words is "one trillion, two hundred eighty-seven billion, two hundred ninety-six million, four hundred eighteen thousand, two hundred forty".