242416995480 has 1024 divisors, whose sum is σ = 942774681600. Its totient is φ = 54867456000.

The previous prime is 242416995421. The next prime is 242416995523. The reversal of 242416995480 is 84599614242.

242416995480 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 1 + 6 + 99 + 548 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 255 ways as a sum of consecutive naturals, for example, 1908795177 + ... + 1908795303.

It is an arithmetic number, because the mean of its divisors is an integer number (920678400).

Almost surely, 2^242416995480 is an apocalyptic number.

242416995480 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 242416995480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471387340800).

242416995480 is an abundant number, since it is smaller than the sum of its proper divisors (700357686120).

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

242416995480 is a wasteful number, since it uses less digits than its factorization.

242416995480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 242416995480 in words is "two hundred forty-two billion, four hundred sixteen million, nine hundred ninety-five thousand, four hundred eighty".