242273445120 has 576 divisors, whose sum is σ = 985684170240. Its totient is φ = 55200448512.

The previous prime is 242273445119. The next prime is 242273445163. The reversal of 242273445120 is 21544372242.

242273445120 is a `hidden beast` number, since 2 + 4 + 22 + 73 + 445 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85396342 + ... + 85399178.

It is an arithmetic number, because the mean of its divisors is an integer number (1711257240).

Almost surely, 2^242273445120 is an apocalyptic number.

242273445120 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 242273445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492842085120).

242273445120 is an abundant number, since it is smaller than the sum of its proper divisors (743410725120).

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

242273445120 is a wasteful number, since it uses less digits than its factorization.

242273445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 242273445120 in words is "two hundred forty-two billion, two hundred seventy-three million, four hundred forty-five thousand, one hundred twenty".