16440354216 has 360 divisors, whose sum is σ = 54941019210. Its totient is φ = 4562490240.

The previous prime is 16440354211. The next prime is 16440354221. The reversal of 16440354216 is 61245304461.

16440354216 is a `hidden beast` number, since 1 + 64 + 40 + 3 + 542 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (16440354211) and next prime (16440354221).

It can be written as a sum of positive squares in only one way, i.e., 15808032900 + 632321316 = 125730^2 + 25146^2 .

It is a super-3 number, since 3×16440354216³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16440354211) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 129451545 + ... + 129451671.

Almost surely, 2^16440354216 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 16440354216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27470509605).

16440354216 is an abundant number, since it is smaller than the sum of its proper divisors (38500664994).

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

16440354216 is a wasteful number, since it uses less digits than its factorization.

16440354216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 16440354216 its reverse (61245304461), we get a palindrome (77685658677).

The spelling of 16440354216 in words is "sixteen billion, four hundred forty million, three hundred fifty-four thousand, two hundred sixteen".