16834406400 has 864 divisors, whose sum is σ = 73193440320. Its totient is φ = 3609722880.

The previous prime is 16834406371. The next prime is 16834406419. The reversal of 16834406400 is 460443861.

16834406400 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 4 + 4 + 0 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54835047 + ... + 54835353.

It is an arithmetic number, because the mean of its divisors is an integer number (84714630).

Almost surely, 2^16834406400 is an apocalyptic number.

16834406400 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 16834406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36596720160).

16834406400 is an abundant number, since it is smaller than the sum of its proper divisors (56359033920).

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

16834406400 is a wasteful number, since it uses less digits than its factorization.

16834406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16834406400 in words is "sixteen billion, eight hundred thirty-four million, four hundred six thousand, four hundred".