1242358087680 has 504 divisors, whose sum is σ = 4363600805928. Its totient is φ = 326954385408.

The previous prime is 1242358087657. The next prime is 1242358087703. The reversal of 1242358087680 is 867808532421.

1242358087680 is a `hidden beast` number, since 1 + 2 + 423 + 5 + 80 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1242358087657) and next prime (1242358087703).

It can be written as a sum of positive squares in 4 ways, for example, as 32850837504 + 1209507250176 = 181248^2 + 1099776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5332008844 + ... + 5332009076.

It is an arithmetic number, because the mean of its divisors is an integer number (8657938107).

Almost surely, 2^{1242358087680} is an apocalyptic number.

1242358087680 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 1242358087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181800402964).

1242358087680 is an abundant number, since it is smaller than the sum of its proper divisors (3121242718248).

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

1242358087680 is an frugal number, since it uses more digits than its factorization.

1242358087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1242358087680 in words is "one trillion, two hundred forty-two billion, three hundred fifty-eight million, eighty-seven thousand, six hundred eighty".