4042441728 has 440 divisors, whose sum is σ = 13648544448. Its totient is φ = 1182449664.

The previous prime is 4042441693. The next prime is 4042441787. The reversal of 4042441728 is 8271442404.

4042441728 is a `hidden beast` number, since 404 + 244 + 1 + 7 + 2 + 8 = 666.

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 = 4042441692 and 4042441701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24800175 + ... + 24800337.

Almost surely, 2^4042441728 is an apocalyptic number.

4042441728 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 4042441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824272224).

4042441728 is an abundant number, since it is smaller than the sum of its proper divisors (9606102720).

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

4042441728 is a wasteful number, since it uses less digits than its factorization.

4042441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4042441728 is about 63580.1991818208. The cubic root of 4042441728 is about 1592.9956483225.

The spelling of 4042441728 in words is "four billion, forty-two million, four hundred forty-one thousand, seven hundred twenty-eight".