242440554333656 has 128 divisors (see below), whose sum is σ = 527001678403200. Its totient is φ = 102415889203200.

The previous prime is 242440554333647. The next prime is 242440554333673. The reversal of 242440554333656 is 656333455044242.

It is a super-2 number, since 2×242440554333656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378692170 + ... + 1378868006.

It is an arithmetic number, because the mean of its divisors is an integer number (4117200612525).

Almost surely, 2^{242440554333656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242440554333656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263500839201600).

242440554333656 is an abundant number, since it is smaller than the sum of its proper divisors (284561124069544).

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

242440554333656 is a wasteful number, since it uses less digits than its factorization.

242440554333656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177037 (or 177033 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 56.

The spelling of 242440554333656 in words is "two hundred forty-two trillion, four hundred forty billion, five hundred fifty-four million, three hundred thirty-three thousand, six hundred fifty-six".