4055444000 has 96 divisors (see below), whose sum is σ = 10003921200. Its totient is φ = 1615718400.

The previous prime is 4055443991. The next prime is 4055444009. The reversal of 4055444000 is 4445504.

It is an interprime number because it is at equal distance from previous prime (4055443991) and next prime (4055444009).

It can be written as a sum of positive squares in 8 ways, for example, as 37405456 + 4018038544 = 6116^2 + 63388^2 .

It is not an unprimeable number, because it can be changed into a prime (4055444009) 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, 1074116 + ... + 1077884.

Almost surely, 2^4055444000 is an apocalyptic number.

4055444000 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 4055444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001960600).

4055444000 is an abundant number, since it is smaller than the sum of its proper divisors (5948477200).

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

4055444000 is a wasteful number, since it uses less digits than its factorization.

4055444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4055444000 is about 63682.3680464224. The cubic root of 4055444000 is about 1594.7017455113.

Adding to 4055444000 its reverse (4445504), we get a palindrome (4059889504).

The spelling of 4055444000 in words is "four billion, fifty-five million, four hundred forty-four thousand".