4405205011120 has 80 divisors (see below), whose sum is σ = 10311337264320. Its totient is φ = 1750173696000.

The previous prime is 4405205011091. The next prime is 4405205011127. The reversal of 4405205011120 is 211105025044.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4405205011127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107841900 + ... + 107882740.

It is an arithmetic number, because the mean of its divisors is an integer number (128891715804).

Almost surely, 2^{4405205011120} is an apocalyptic number.

4405205011120 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 4405205011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155668632160).

4405205011120 is an abundant number, since it is smaller than the sum of its proper divisors (5906132253200).

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

4405205011120 is a wasteful number, since it uses less digits than its factorization.

4405205011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49934 (or 49928 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 4405205011120 in words is "four trillion, four hundred five billion, two hundred five million, eleven thousand, one hundred twenty".