16334438400 has 720 divisors, whose sum is σ = 68910311680. Its totient is φ = 3715891200.

The previous prime is 16334438383. The next prime is 16334438441. The reversal of 16334438400 is 483443361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 77414295 + ... + 77414505.

Almost surely, 2^16334438400 is an apocalyptic number.

16334438400 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 16334438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34455155840).

16334438400 is an abundant number, since it is smaller than the sum of its proper divisors (52575873280).

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

16334438400 is an equidigital number, since it uses as much as digits as its factorization.

16334438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 16334438400 in words is "sixteen billion, three hundred thirty-four million, four hundred thirty-eight thousand, four hundred".