1242555948576 has 480 divisors, whose sum is σ = 3951763200000. Its totient is φ = 381764648448.

The previous prime is 1242555948553. The next prime is 1242555948607. The reversal of 1242555948576 is 6758495552421.

1242555948576 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 5 + 5 + 59 + 4 + 8 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414321925 + ... + 414324923.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840000).

Almost surely, 2^{1242555948576} is an apocalyptic number.

1242555948576 is a gapful number since it is divisible by the number (16) 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 1242555948576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975881600000).

1242555948576 is an abundant number, since it is smaller than the sum of its proper divisors (2709207251424).

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

1242555948576 is a wasteful number, since it uses less digits than its factorization.

1242555948576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3249 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 1242555948576 in words is "one trillion, two hundred forty-two billion, five hundred fifty-five million, nine hundred forty-eight thousand, five hundred seventy-six".