242053150544000 has 256 divisors, whose sum is σ = 606033565169760. Its totient is φ = 96142491648000.

The previous prime is 242053150543987. The next prime is 242053150544017. The reversal of 242053150544000 is 445051350242.

It can be written as a sum of positive squares in 16 ways, for example, as 20691363098176 + 221361787445824 = 4548776^2 + 14878232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948945904 + ... + 1949070096.

Almost surely, 2^{242053150544000} is an apocalyptic number.

242053150544000 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 242053150544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303016782584880).

242053150544000 is an abundant number, since it is smaller than the sum of its proper divisors (363980414625760).

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

242053150544000 is a wasteful number, since it uses less digits than its factorization.

242053150544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125076 (or 125054 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 242053150544000 in words is "two hundred forty-two trillion, fifty-three billion, one hundred fifty million, five hundred forty-four thousand".