4055445504 has 312 divisors, whose sum is σ = 13048852752. Its totient is φ = 1203240960.

The previous prime is 4055445461. The next prime is 4055445533.

4055445504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29601724 + ... + 29601860.

It is an arithmetic number, because the mean of its divisors is an integer number (41823246).

Almost surely, 2^4055445504 is an apocalyptic number.

4055445504 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 4055445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524426376).

4055445504 is an abundant number, since it is smaller than the sum of its proper divisors (8993407248).

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

4055445504 is a wasteful number, since it uses less digits than its factorization.

4055445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The square root of 4055445504 is about 63682.3798550274. The cubic root of 4055445504 is about 1594.7019426481.

The spelling of 4055445504 in words is "four billion, fifty-five million, four hundred forty-five thousand, five hundred four".