242354053144440 has 192 divisors, whose sum is σ = 788647591892160. Its totient is φ = 64545976535040.

The previous prime is 242354053144429. The next prime is 242354053144513. The reversal of 242354053144440 is 44441350453242.

242354053144440 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 540 + 53 + 14 + 4 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766476245 + ... + 1766613435.

It is an arithmetic number, because the mean of its divisors is an integer number (4107539541105).

Almost surely, 2^{242354053144440} is an apocalyptic number.

242354053144440 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 242354053144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394323795946080).

242354053144440 is an abundant number, since it is smaller than the sum of its proper divisors (546293538747720).

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

242354053144440 is a wasteful number, since it uses less digits than its factorization.

242354053144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143382 (or 143375 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 242354053144440 in words is "two hundred forty-two trillion, three hundred fifty-four billion, fifty-three million, one hundred forty-four thousand, four hundred forty".