4493644646400 has 2880 divisors, whose sum is σ = 20988375408000. Its totient is φ = 948109639680.

The previous prime is 4493644646341. The next prime is 4493644646423. The reversal of 4493644646400 is 46464463944.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 345664972794 + ... + 345664972806.

It is an arithmetic number, because the mean of its divisors is an integer number (7287630350).

Almost surely, 2^{4493644646400} is an apocalyptic number.

4493644646400 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 4493644646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494187704000).

4493644646400 is an abundant number, since it is smaller than the sum of its proper divisors (16494730761600).

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

4493644646400 is an frugal number, since it uses more digits than its factorization.

4493644646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 4493644646400 in words is "four trillion, four hundred ninety-three billion, six hundred forty-four million, six hundred forty-six thousand, four hundred".