4348388966400 has 1296 divisors, whose sum is σ = 16659577718784. Its totient is φ = 1123685498880.

The previous prime is 4348388966381. The next prime is 4348388966417. The reversal of 4348388966400 is 46698838434.

4348388966400 is a `hidden beast` number, since 4 + 3 + 483 + 8 + 8 + 96 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

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, 34239283137 + ... + 34239283263.

Almost surely, 2^{4348388966400} is an apocalyptic number.

4348388966400 is a gapful number since it is divisible by the number (40) 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 4348388966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329788859392).

4348388966400 is an abundant number, since it is smaller than the sum of its proper divisors (12311188752384).

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

4348388966400 is an frugal number, since it uses more digits than its factorization.

4348388966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 4348388966400 in words is "four trillion, three hundred forty-eight billion, three hundred eighty-eight million, nine hundred sixty-six thousand, four hundred".