4054042240 has 128 divisors (see below), whose sum is σ = 10119848400. Its totient is φ = 1551040512.

The previous prime is 4054042219. The next prime is 4054042243. The reversal of 4054042240 is 422404504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 908178496 + 3145863744 = 30136^2 + 56088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4054042243) 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, 2096314 + ... + 2098246.

Almost surely, 2^4054042240 is an apocalyptic number.

4054042240 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 4054042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059924200).

4054042240 is an abundant number, since it is smaller than the sum of its proper divisors (6065806160).

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

4054042240 is a wasteful number, since it uses less digits than its factorization.

4054042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 4054042240 is about 63671.3612230805. The cubic root of 4054042240 is about 1594.5179886714.

Adding to 4054042240 its reverse (422404504), we get a palindrome (4476446744).

The spelling of 4054042240 in words is "four billion, fifty-four million, forty-two thousand, two hundred forty".