4109955456 has 128 divisors (see below), whose sum is σ = 11235218400. Its totient is φ = 1330380800.

The previous prime is 4109955433. The next prime is 4109955457. The reversal of 4109955456 is 6545599014.

4109955456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109955457) 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, 4423600 + ... + 4424528.

Almost surely, 2^4109955456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617609200).

4109955456 is an abundant number, since it is smaller than the sum of its proper divisors (7125262944).

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

4109955456 is a wasteful number, since it uses less digits than its factorization.

4109955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 4109955456 is about 64108.9342915634. The cubic root of 4109955456 is about 1601.8150568684.

The spelling of 4109955456 in words is "four billion, one hundred nine million, nine hundred fifty-five thousand, four hundred fifty-six".