16408216440 has 768 divisors, whose sum is σ = 70562534400. Its totient is φ = 3353011200.

The previous prime is 16408216439. The next prime is 16408216463. The reversal of 16408216440 is 4461280461.

It is a happy number.

16408216440 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 8 + 2 + 1 + 644 + 0 = 666.

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 = 16408216395 and 16408216404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41330322 + ... + 41330718.

It is an arithmetic number, because the mean of its divisors is an integer number (91878300).

Almost surely, 2^16408216440 is an apocalyptic number.

16408216440 is a gapful number since it is divisible by the number (10) 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 16408216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35281267200).

16408216440 is an abundant number, since it is smaller than the sum of its proper divisors (54154317960).

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

16408216440 is a wasteful number, since it uses less digits than its factorization.

16408216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 16408216440 in words is "sixteen billion, four hundred eight million, two hundred sixteen thousand, four hundred forty".