4041432000 has 168 divisors, whose sum is σ = 14457133392. Its totient is φ = 1077696000.

The previous prime is 4041431969. The next prime is 4041432007. The reversal of 4041432000 is 2341404.

4041432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4041432000² = 32666345221248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041432007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43935 + ... + 100065.

Almost surely, 2^4041432000 is an apocalyptic number.

4041432000 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 4041432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228566696).

4041432000 is an abundant number, since it is smaller than the sum of its proper divisors (10415701392).

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

4041432000 is a wasteful number, since it uses less digits than its factorization.

4041432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56164 (or 56141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4041432000 is about 63572.2581005268. The cubic root of 4041432000 is about 1592.8630035530.

Adding to 4041432000 its reverse (2341404), we get a palindrome (4043773404).

The spelling of 4041432000 in words is "four billion, forty-one million, four hundred thirty-two thousand".