16416460800 has 468 divisors, whose sum is σ = 60209747520. Its totient is φ = 4273274880.

The previous prime is 16416460783. The next prime is 16416460811. The reversal of 16416460800 is 806461461.

16416460800 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 646 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43315011 + ... + 43315389.

Almost surely, 2^16416460800 is an apocalyptic number.

16416460800 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 16416460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30104873760).

16416460800 is an abundant number, since it is smaller than the sum of its proper divisors (43793286720).

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

16416460800 is a wasteful number, since it uses less digits than its factorization.

16416460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16416460800 in words is "sixteen billion, four hundred sixteen million, four hundred sixty thousand, eight hundred".