242413436328 has 128 divisors (see below), whose sum is σ = 733278873600. Its totient is φ = 65236237056.

The previous prime is 242413436323. The next prime is 242413436341. The reversal of 242413436328 is 823634314242.

It is a happy number.

It is a super-2 number, since 2×242413436328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242413436328.

It is not an unprimeable number, because it can be changed into a prime (242413436323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332725 + ... + 771707.

It is an arithmetic number, because the mean of its divisors is an integer number (5728741200).

Almost surely, 2^242413436328 is an apocalyptic number.

242413436328 is a gapful number since it is divisible by the number (28) 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 242413436328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366639436800).

242413436328 is an abundant number, since it is smaller than the sum of its proper divisors (490865437272).

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

242413436328 is a wasteful number, since it uses less digits than its factorization.

242413436328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439191 (or 439187 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 242413436328 in words is "two hundred forty-two billion, four hundred thirteen million, four hundred thirty-six thousand, three hundred twenty-eight".