4408444006400 has 312 divisors, whose sum is σ = 12729096294624. Its totient is φ = 1482935500800.

The previous prime is 4408444006387. The next prime is 4408444006403. The reversal of 4408444006400 is 46004448044.

It is not an unprimeable number, because it can be changed into a prime (4408444006403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37932380 + ... + 38048420.

Almost surely, 2^{4408444006400} is an apocalyptic number.

4408444006400 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 4408444006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364548147312).

4408444006400 is an abundant number, since it is smaller than the sum of its proper divisors (8320652288224).

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

4408444006400 is a wasteful number, since it uses less digits than its factorization.

4408444006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116135 (or 116108 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

The spelling of 4408444006400 in words is "four trillion, four hundred eight billion, four hundred forty-four million, six thousand, four hundred".