16405002224 has 80 divisors (see below), whose sum is σ = 34851102720. Its totient is φ = 7435134720.

The previous prime is 16405002181. The next prime is 16405002233. The reversal of 16405002224 is 42220050461.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 16405002193 and 16405002202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135899 + ... + 3141125.

It is an arithmetic number, because the mean of its divisors is an integer number (435638784).

Almost surely, 2^16405002224 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 16405002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425551360).

16405002224 is an abundant number, since it is smaller than the sum of its proper divisors (18446100496).

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

16405002224 is a wasteful number, since it uses less digits than its factorization.

16405002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 16405002224 its reverse (42220050461), we get a palindrome (58625052685).

The spelling of 16405002224 in words is "sixteen billion, four hundred five million, two thousand, two hundred twenty-four".