242224450053300 has 720 divisors, whose sum is σ = 931978408439232. Its totient is φ = 53645242982400.

The previous prime is 242224450053181. The next prime is 242224450053319. The reversal of 242224450053300 is 3350054422242.

242224450053300 is a `hidden beast` number, since 2 + 42 + 22 + 44 + 500 + 53 + 3 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 111277159 + ... + 113433041.

Almost surely, 2^{242224450053300} is an apocalyptic number.

242224450053300 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 242224450053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465989204219616).

242224450053300 is an abundant number, since it is smaller than the sum of its proper divisors (689753958385932).

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

242224450053300 is a wasteful number, since it uses less digits than its factorization.

242224450053300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156030 (or 2156014 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 242224450053300 in words is "two hundred forty-two trillion, two hundred twenty-four billion, four hundred fifty million, fifty-three thousand, three hundred".