242413221960 has 512 divisors, whose sum is σ = 996710400000. Its totient is φ = 51033701376.

The previous prime is 242413221899. The next prime is 242413221971. The reversal of 242413221960 is 69122314242.

It is a happy number.

242413221960 is a `hidden beast` number, since 2 + 4 + 241 + 322 + 1 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49039249 + ... + 49044191.

It is an arithmetic number, because the mean of its divisors is an integer number (1946700000).

Almost surely, 2^242413221960 is an apocalyptic number.

242413221960 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 242413221960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498355200000).

242413221960 is an abundant number, since it is smaller than the sum of its proper divisors (754297178040).

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

242413221960 is a wasteful number, since it uses less digits than its factorization.

242413221960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 242413221960 in words is "two hundred forty-two billion, four hundred thirteen million, two hundred twenty-one thousand, nine hundred sixty".