16834340400 has 60 divisors (see below), whose sum is σ = 53926007592. Its totient is φ = 4489157120.

The previous prime is 16834340399. The next prime is 16834340407. The reversal of 16834340400 is 404343861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (16834340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7013109 + ... + 7015508.

Almost surely, 2^16834340400 is an apocalyptic number.

16834340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16834340400 is an abundant number, since it is smaller than the sum of its proper divisors (37091667192).

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

16834340400 is a wasteful number, since it uses less digits than its factorization.

16834340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028638 (or 14028627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 16834340400 in words is "sixteen billion, eight hundred thirty-four million, three hundred forty thousand, four hundred".