4446064343400 has 192 divisors, whose sum is σ = 13863423100800. Its totient is φ = 1178686080000.

The previous prime is 4446064343393. The next prime is 4446064343419. The reversal of 4446064343400 is 43434606444.

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, 537674466 + ... + 537682734.

It is an arithmetic number, because the mean of its divisors is an integer number (72205328650).

Almost surely, 2^{4446064343400} is an apocalyptic number.

4446064343400 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 4446064343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931711550400).

4446064343400 is an abundant number, since it is smaller than the sum of its proper divisors (9417358757400).

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

4446064343400 is a wasteful number, since it uses less digits than its factorization.

4446064343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13411 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 4446064343400 its reverse (43434606444), we get a palindrome (4489498949844).

The spelling of 4446064343400 in words is "four trillion, four hundred forty-six billion, sixty-four million, three hundred forty-three thousand, four hundred".