4050144000 has 864 divisors, whose sum is σ = 17409974400. Its totient is φ = 903168000.

The previous prime is 4050143989. The next prime is 4050144013. The reversal of 4050144000 is 4410504.

It is a super-3 number, since 3×4050144000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98783980 + ... + 98784020.

Almost surely, 2^4050144000 is an apocalyptic number.

4050144000 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 4050144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704987200).

4050144000 is an abundant number, since it is smaller than the sum of its proper divisors (13359830400).

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

4050144000 is an equidigital number, since it uses as much as digits as its factorization.

4050144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4050144000 is about 63640.7416675827. The cubic root of 4050144000 is about 1594.0067452579.

Adding to 4050144000 its reverse (4410504), we get a palindrome (4054554504).

The spelling of 4050144000 in words is "four billion, fifty million, one hundred forty-four thousand".