16394918400 has 840 divisors, whose sum is σ = 69879214944. Its totient is φ = 3732480000.

The previous prime is 16394918383. The next prime is 16394918453. The reversal of 16394918400 is 481949361.

16394918400 is a `hidden beast` number, since 1 + 639 + 4 + 9 + 1 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65318275 + ... + 65318525.

Almost surely, 2^16394918400 is an apocalyptic number.

16394918400 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 16394918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34939607472).

16394918400 is an abundant number, since it is smaller than the sum of its proper divisors (53484296544).

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

16394918400 is an frugal number, since it uses more digits than its factorization.

16394918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16394918400 in words is "sixteen billion, three hundred ninety-four million, nine hundred eighteen thousand, four hundred".