16406211744 has 480 divisors, whose sum is σ = 54283078080. Its totient is φ = 4857076224.

The previous prime is 16406211739. The next prime is 16406211749. The reversal of 16406211744 is 44711260461.

It is a happy number.

16406211744 is a `hidden beast` number, since 1 + 640 + 6 + 2 + 1 + 1 + 7 + 4 + 4 = 666.

16406211744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16406211739) and next prime (16406211749).

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

It is a junction number, because it is equal to n+sod(n) for n = 16406211699 and 16406211708.

It is not an unprimeable number, because it can be changed into a prime (16406211749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244868799 + ... + 244868865.

It is an arithmetic number, because the mean of its divisors is an integer number (113089746).

Almost surely, 2^16406211744 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 16406211744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141539040).

16406211744 is an abundant number, since it is smaller than the sum of its proper divisors (37876866336).

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

16406211744 is an equidigital number, since it uses as much as digits as its factorization.

16406211744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 16406 and 211744, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 16406211744 in words is "sixteen billion, four hundred six million, two hundred eleven thousand, seven hundred forty-four".