4041856000 has 352 divisors, whose sum is σ = 12446284032. Its totient is φ = 1275494400.

The previous prime is 4041855989. The next prime is 4041856009. The reversal of 4041856000 is 6581404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4041856000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041856009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11647827 + ... + 11648173.

Almost surely, 2^4041856000 is an apocalyptic number.

4041856000 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 4041856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223142016).

4041856000 is an abundant number, since it is smaller than the sum of its proper divisors (8404428032).

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

4041856000 is a wasteful number, since it uses less digits than its factorization.

4041856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4041856000 is about 63575.5928010113. The cubic root of 4041856000 is about 1592.9187057807.

The spelling of 4041856000 in words is "four billion, forty-one million, eight hundred fifty-six thousand".