1242425479680 has 3840 divisors, whose sum is σ = 6177204633600. Its totient is φ = 222953472000.

The previous prime is 1242425479679. The next prime is 1242425479747. The reversal of 1242425479680 is 869745242421.

1242425479680 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 4 + 2 + 547 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30303060460 + ... + 30303060500.

It is an arithmetic number, because the mean of its divisors is an integer number (1608647040).

Almost surely, 2^{1242425479680} is an apocalyptic number.

1242425479680 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 1242425479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088602316800).

1242425479680 is an abundant number, since it is smaller than the sum of its proper divisors (4934779153920).

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

1242425479680 is a wasteful number, since it uses less digits than its factorization.

1242425479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1242425479680 in words is "one trillion, two hundred forty-two billion, four hundred twenty-five million, four hundred seventy-nine thousand, six hundred eighty".