16406403042432 has 256 divisors, whose sum is σ = 47201163408000. Its totient is φ = 5019209072640.

The previous prime is 16406403042427. The next prime is 16406403042433. The reversal of 16406403042432 is 23424030460461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16406403042433) 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 31 ways as a sum of consecutive naturals, for example, 869941419 + ... + 869960277.

Almost surely, 2^{16406403042432} is an apocalyptic number.

16406403042432 is a gapful number since it is divisible by the number (12) 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 16406403042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600581704000).

16406403042432 is an abundant number, since it is smaller than the sum of its proper divisors (30794760365568).

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

16406403042432 is a wasteful number, since it uses less digits than its factorization.

16406403042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19879 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 16406403042432 in words is "sixteen trillion, four hundred six billion, four hundred three million, forty-two thousand, four hundred thirty-two".