4405205328000 has 512 divisors, whose sum is σ = 15902007264000. Its totient is φ = 1074511872000.

The previous prime is 4405205327969. The next prime is 4405205328101. The reversal of 4405205328000 is 8235025044.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26364720 + ... + 26531280.

Almost surely, 2^{4405205328000} is an apocalyptic number.

4405205328000 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 4405205328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951003632000).

4405205328000 is an abundant number, since it is smaller than the sum of its proper divisors (11496801936000).

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

4405205328000 is a wasteful number, since it uses less digits than its factorization.

4405205328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166641 (or 166619 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 4405205328000 in words is "four trillion, four hundred five billion, two hundred five million, three hundred twenty-eight thousand".