242010121416 has 256 divisors, whose sum is σ = 730545868800. Its totient is φ = 65315712000.

The previous prime is 242010121403. The next prime is 242010121427. The reversal of 242010121416 is 614121010242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257183506 + ... + 257184446.

It is an arithmetic number, because the mean of its divisors is an integer number (2853694800).

Almost surely, 2^242010121416 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 242010121416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365272934400).

242010121416 is an abundant number, since it is smaller than the sum of its proper divisors (488535747384).

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

242010121416 is a wasteful number, since it uses less digits than its factorization.

242010121416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 242010121416 its reverse (614121010242), we get a palindrome (856131131658).

The spelling of 242010121416 in words is "two hundred forty-two billion, ten million, one hundred twenty-one thousand, four hundred sixteen".