1287316238400 has 672 divisors, whose sum is σ = 4864635310080. Its totient is φ = 330930800640.

The previous prime is 1287316238399. The next prime is 1287316238449. The reversal of 1287316238400 is 48326137821.

1287316238400 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 3 + 1 + 6 + 238 + 400 = 666.

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

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, 136032069 + ... + 136041531.

It is an arithmetic number, because the mean of its divisors is an integer number (7239040640).

Almost surely, 2^{1287316238400} is an apocalyptic number.

1287316238400 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 1287316238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432317655040).

1287316238400 is an abundant number, since it is smaller than the sum of its proper divisors (3577319071680).

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

1287316238400 is a wasteful number, since it uses less digits than its factorization.

1287316238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1287316238400 in words is "one trillion, two hundred eighty-seven billion, three hundred sixteen million, two hundred thirty-eight thousand, four hundred".