242468401968 has 240 divisors, whose sum is σ = 760567764000. Its totient is φ = 73918780416.

The previous prime is 242468401927. The next prime is 242468402039. The reversal of 242468401968 is 869104864242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7942638 + ... + 7973106.

It is an arithmetic number, because the mean of its divisors is an integer number (3169032350).

Almost surely, 2^242468401968 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 242468401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380283882000).

242468401968 is an abundant number, since it is smaller than the sum of its proper divisors (518099362032).

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

242468401968 is a wasteful number, since it uses less digits than its factorization.

242468401968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30621 (or 30596 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 242468401968 in words is "two hundred forty-two billion, four hundred sixty-eight million, four hundred one thousand, nine hundred sixty-eight".