16434393600 has 480 divisors, whose sum is σ = 57266066880. Its totient is φ = 4149411840.

The previous prime is 16434393581. The next prime is 16434393601. The reversal of 16434393600 is 639343461.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434393601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61094266 + ... + 61094534.

It is an arithmetic number, because the mean of its divisors is an integer number (119304306).

Almost surely, 2^16434393600 is an apocalyptic number.

16434393600 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 16434393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28633033440).

16434393600 is an abundant number, since it is smaller than the sum of its proper divisors (40831673280).

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

16434393600 is a wasteful number, since it uses less digits than its factorization.

16434393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 16434393600 in words is "sixteen billion, four hundred thirty-four million, three hundred ninety-three thousand, six hundred".