4024448640 has 192 divisors, whose sum is σ = 13970736000. Its totient is φ = 1067489280.

The previous prime is 4024448633. The next prime is 4024448669. The reversal of 4024448640 is 468444204.

4024448640 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4024448595 and 4024448604.

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, 1144485 + ... + 1147995.

It is an arithmetic number, because the mean of its divisors is an integer number (72764250).

Almost surely, 2^4024448640 is an apocalyptic number.

4024448640 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 4024448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985368000).

4024448640 is an abundant number, since it is smaller than the sum of its proper divisors (9946287360).

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

4024448640 is a wasteful number, since it uses less digits than its factorization.

4024448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4024448640 is about 63438.5422278917. The cubic root of 4024448640 is about 1590.6286347764.

The spelling of 4024448640 in words is "four billion, twenty-four million, four hundred forty-eight thousand, six hundred forty".