4048288440 has 128 divisors (see below), whose sum is σ = 13892497920. Its totient is φ = 924480000.

The previous prime is 4048288423. The next prime is 4048288441. The reversal of 4048288440 is 448828404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4048288392 and 4048288401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048288441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797315 + ... + 1799565.

It is an arithmetic number, because the mean of its divisors is an integer number (108535140).

Almost surely, 2^4048288440 is an apocalyptic number.

4048288440 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 4048288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946248960).

4048288440 is an abundant number, since it is smaller than the sum of its proper divisors (9844209480).

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

4048288440 is a wasteful number, since it uses less digits than its factorization.

4048288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The square root of 4048288440 is about 63626.1616003983. The cubic root of 4048288440 is about 1593.7632784438.

The spelling of 4048288440 in words is "four billion, forty-eight million, two hundred eighty-eight thousand, four hundred forty".