16241218024416 has 384 divisors, whose sum is σ = 53670309073920. Its totient is φ = 4177491148800.

The previous prime is 16241218024387. The next prime is 16241218024417. The reversal of 16241218024416 is 61442081214261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16241218024417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1837861150 + ... + 1837869986.

It is an arithmetic number, because the mean of its divisors is an integer number (139766429880).

Almost surely, 2^{16241218024416} is an apocalyptic number.

16241218024416 is a gapful number since it is divisible by the number (16) 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 16241218024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26835154536960).

16241218024416 is an abundant number, since it is smaller than the sum of its proper divisors (37429091049504).

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

16241218024416 is a wasteful number, since it uses less digits than its factorization.

16241218024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

Adding to 16241218024416 its reverse (61442081214261), we get a palindrome (77683299238677).

The spelling of 16241218024416 in words is "sixteen trillion, two hundred forty-one billion, two hundred eighteen million, twenty-four thousand, four hundred sixteen".