4055115504 has 160 divisors (see below), whose sum is σ = 11753533440. Its totient is φ = 1194336000.

The previous prime is 4055115503. The next prime is 4055115511.

4055115504 is nontrivially palindromic in base 10.

4055115504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055115503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2793979 + ... + 2795429.

It is an arithmetic number, because the mean of its divisors is an integer number (73459584).

Almost surely, 2^4055115504 is an apocalyptic number.

4055115504 is a gapful number since it is divisible by the number (44) 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 4055115504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876766720).

4055115504 is an abundant number, since it is smaller than the sum of its proper divisors (7698417936).

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

4055115504 is a wasteful number, since it uses less digits than its factorization.

4055115504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 4055115504 is about 63679.7888187453. The cubic root of 4055115504 is about 1594.6586867415.

The spelling of 4055115504 in words is "four billion, fifty-five million, one hundred fifteen thousand, five hundred four".