1287195234240 has 896 divisors, whose sum is σ = 4582241280000. Its totient is φ = 304653533184.

The previous prime is 1287195234203. The next prime is 1287195234263. The reversal of 1287195234240 is 424325917821.

It is a super-3 number, since 3×1287195234240³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1287195234240.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 6468317661 + ... + 6468317859.

Almost surely, 2^{1287195234240} is an apocalyptic number.

1287195234240 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 1287195234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291120640000).

1287195234240 is an abundant number, since it is smaller than the sum of its proper divisors (3295046045760).

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

1287195234240 is a wasteful number, since it uses less digits than its factorization.

1287195234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1287195234240 in words is "one trillion, two hundred eighty-seven billion, one hundred ninety-five million, two hundred thirty-four thousand, two hundred forty".