4445138040 has 256 divisors, whose sum is σ = 15599001600. Its totient is φ = 992438784.

The previous prime is 4445138021. The next prime is 4445138051. The reversal of 4445138040 is 408315444.

It is a junction number, because it is equal to n+sod(n) for n = 4445137992 and 4445138010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7180851 + ... + 7181469.

It is an arithmetic number, because the mean of its divisors is an integer number (60933600).

Almost surely, 2^4445138040 is an apocalyptic number.

4445138040 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 4445138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

4445138040 is an abundant number, since it is smaller than the sum of its proper divisors (11153863560).

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

4445138040 is a wasteful number, since it uses less digits than its factorization.

4445138040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4445138040 is about 66671.8684303957. The cubic root of 4445138040 is about 1644.2269061249.

The spelling of 4445138040 in words is "four billion, four hundred forty-five million, one hundred thirty-eight thousand, forty".