242301290604480 has 280 divisors, whose sum is σ = 862824353941440. Its totient is φ = 64545006090240.

The previous prime is 242301290604473. The next prime is 242301290604493. The reversal of 242301290604480 is 84406092103242.

242301290604480 is a `hidden beast` number, since 2 + 4 + 2 + 30 + 1 + 2 + 9 + 0 + 604 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19423641 + ... + 29357799.

Almost surely, 2^{242301290604480} is an apocalyptic number.

242301290604480 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 242301290604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431412176970720).

242301290604480 is an abundant number, since it is smaller than the sum of its proper divisors (620523063336960).

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

242301290604480 is an equidigital number, since it uses as much as digits as its factorization.

242301290604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935129 (or 9935110 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 242301290604480 in words is "two hundred forty-two trillion, three hundred one billion, two hundred ninety million, six hundred four thousand, four hundred eighty".