242262666432 has 168 divisors, whose sum is σ = 699591438000. Its totient is φ = 80153008128.

The previous prime is 242262666403. The next prime is 242262666461. The reversal of 242262666432 is 234666262242.

It is an interprime number because it is at equal distance from previous prime (242262666403) and next prime (242262666461).

It is a super-2 number, since 2×242262666432² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45629794 + ... + 45635102.

It is an arithmetic number, because the mean of its divisors is an integer number (4164234750).

Almost surely, 2^242262666432 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 242262666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349795719000).

242262666432 is an abundant number, since it is smaller than the sum of its proper divisors (457328771568).

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

242262666432 is a wasteful number, since it uses less digits than its factorization.

242262666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5890 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 242262666432 in words is "two hundred forty-two billion, two hundred sixty-two million, six hundred sixty-six thousand, four hundred thirty-two".