1242760296960 has 2160 divisors, whose sum is σ = 5747233387896. Its totient is φ = 245942452224.

The previous prime is 1242760296937. The next prime is 1242760296971. The reversal of 1242760296960 is 696920672421.

1242760296960 is a `hidden beast` number, since 1 + 2 + 4 + 27 + 602 + 9 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 512678912256 + 730081384704 = 716016^2 + 854448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1242760296897 and 1242760296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4241502574 + ... + 4241502866.

Almost surely, 2^{1242760296960} is an apocalyptic number.

1242760296960 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 1242760296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873616693948).

1242760296960 is an abundant number, since it is smaller than the sum of its proper divisors (4504473090936).

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

1242760296960 is a wasteful number, since it uses less digits than its factorization.

1242760296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1242760296960 in words is "one trillion, two hundred forty-two billion, seven hundred sixty million, two hundred ninety-six thousand, nine hundred sixty".