16409110464 has 448 divisors, whose sum is σ = 54261227520. Its totient is φ = 4837294080.

The previous prime is 16409110463. The next prime is 16409110477. The reversal of 16409110464 is 46401190461.

16409110464 is a `hidden beast` number, since 1 + 640 + 9 + 1 + 1 + 0 + 4 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16409110463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33694029 + ... + 33694515.

Almost surely, 2^16409110464 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 16409110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27130613760).

16409110464 is an abundant number, since it is smaller than the sum of its proper divisors (37852117056).

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

16409110464 is a wasteful number, since it uses less digits than its factorization.

16409110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16409110464 in words is "sixteen billion, four hundred nine million, one hundred ten thousand, four hundred sixty-four".