242096483973120 has 1152 divisors, whose sum is σ = 912609298298880. Its totient is φ = 54624591544320.

The previous prime is 242096483973119. The next prime is 242096483973163. The reversal of 242096483973120 is 21379384690242.

It is a super-2 number, since 2×242096483973120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62931239037 + ... + 62931242883.

It is an arithmetic number, because the mean of its divisors is an integer number (792195571440).

Almost surely, 2^{242096483973120} is an apocalyptic number.

242096483973120 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 242096483973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456304649149440).

242096483973120 is an abundant number, since it is smaller than the sum of its proper divisors (670512814325760).

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

242096483973120 is a wasteful number, since it uses less digits than its factorization.

242096483973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 242096483973120 in words is "two hundred forty-two trillion, ninety-six billion, four hundred eighty-three million, nine hundred seventy-three thousand, one hundred twenty".