242414412001320 has 512 divisors, whose sum is σ = 809789545152000. Its totient is φ = 57678735605760.

The previous prime is 242414412001319. The next prime is 242414412001369. The reversal of 242414412001320 is 23100214414242.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23182017532 + ... + 23182027988.

It is an arithmetic number, because the mean of its divisors is an integer number (1581620205375).

Almost surely, 2^{242414412001320} is an apocalyptic number.

242414412001320 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 242414412001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404894772576000).

242414412001320 is an abundant number, since it is smaller than the sum of its proper divisors (567375133150680).

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

242414412001320 is a wasteful number, since it uses less digits than its factorization.

242414412001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14733 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 242414412001320 its reverse (23100214414242), we get a palindrome (265514626415562).

The spelling of 242414412001320 in words is "two hundred forty-two trillion, four hundred fourteen billion, four hundred twelve million, one thousand, three hundred twenty".