16414305120 has 288 divisors, whose sum is σ = 61889510592. Its totient is φ = 3940417536.

The previous prime is 16414305107. The next prime is 16414305121. The reversal of 16414305120 is 2150341461.

It is a happy number.

16414305120 is a `hidden beast` number, since 1 + 6 + 4 + 143 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16414305121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548464 + ... + 577616.

It is an arithmetic number, because the mean of its divisors is an integer number (214894134).

Almost surely, 2^16414305120 is an apocalyptic number.

16414305120 is a gapful number since it is divisible by the number (10) 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 16414305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30944755296).

16414305120 is an abundant number, since it is smaller than the sum of its proper divisors (45475205472).

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

16414305120 is a wasteful number, since it uses less digits than its factorization.

16414305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214 (or 29203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 16414305120 its reverse (2150341461), we get a palindrome (18564646581).

The spelling of 16414305120 in words is "sixteen billion, four hundred fourteen million, three hundred five thousand, one hundred twenty".