1287051448320 has 416 divisors, whose sum is σ = 4991613747840. Its totient is φ = 312010997760.

The previous prime is 1287051448307. The next prime is 1287051448321. The reversal of 1287051448320 is 238441507821.

1287051448320 is a `hidden beast` number, since 1 + 2 + 8 + 70 + 514 + 48 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1287051448321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976762 + ... + 6188358.

Almost surely, 2^{1287051448320} is an apocalyptic number.

1287051448320 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 1287051448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495806873920).

1287051448320 is an abundant number, since it is smaller than the sum of its proper divisors (3704562299520).

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

1287051448320 is a wasteful number, since it uses less digits than its factorization.

1287051448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211646 (or 211618 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

It can be divided in two parts, 1287051 and 448320, that added together give a palindrome (1735371).

The spelling of 1287051448320 in words is "one trillion, two hundred eighty-seven billion, fifty-one million, four hundred forty-eight thousand, three hundred twenty".