242512666260480 has 6336 divisors, whose sum is σ = 1165430184122880. Its totient is φ = 46954001203200.

The previous prime is 242512666260463. The next prime is 242512666260493. The reversal of 242512666260480 is 84062666215242.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3975617479650 + ... + 3975617479710.

Almost surely, 2^{242512666260480} is an apocalyptic number.

242512666260480 is a gapful number since it is divisible by the number (20) 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 242512666260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582715092061440).

242512666260480 is an abundant number, since it is smaller than the sum of its proper divisors (922917517862400).

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

242512666260480 is an equidigital number, since it uses as much as digits as its factorization.

242512666260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 242512666260480 in words is "two hundred forty-two trillion, five hundred twelve billion, six hundred sixty-six million, two hundred sixty thousand, four hundred eighty".