12416516422240 has 48 divisors (see below), whose sum is σ = 33524594343072. Its totient is φ = 4257091344384.

The previous prime is 12416516422111. The next prime is 12416516422243. The reversal of 12416516422240 is 4222461561421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12416516422193 and 12416516422202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416516422243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5543086569 + ... + 5543088808.

It is an arithmetic number, because the mean of its divisors is an integer number (698429048814).

Almost surely, 2^{12416516422240} is an apocalyptic number.

12416516422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416516422240 is an abundant number, since it is smaller than the sum of its proper divisors (21108077920832).

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

12416516422240 is a wasteful number, since it uses less digits than its factorization.

12416516422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11086175399 (or 11086175391 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 12416516422240 its reverse (4222461561421), we get a palindrome (16638977983661).

The spelling of 12416516422240 in words is "twelve trillion, four hundred sixteen billion, five hundred sixteen million, four hundred twenty-two thousand, two hundred forty".