4442506128 has 320 divisors, whose sum is σ = 14115763200. Its totient is φ = 1332495360.

The previous prime is 4442506099. The next prime is 4442506153. The reversal of 4442506128 is 8216052444.

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 = 4442506092 and 4442506101.

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, 14470551 + ... + 14470857.

It is an arithmetic number, because the mean of its divisors is an integer number (44111760).

Almost surely, 2^4442506128 is an apocalyptic number.

4442506128 is a gapful number since it is divisible by the number (48) 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 4442506128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057881600).

4442506128 is an abundant number, since it is smaller than the sum of its proper divisors (9673257072).

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

4442506128 is a wasteful number, since it uses less digits than its factorization.

4442506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4442506128 is about 66652.1277079734. The cubic root of 4442506128 is about 1643.9023331611.

The spelling of 4442506128 in words is "four billion, four hundred forty-two million, five hundred six thousand, one hundred twenty-eight".