4112328000 has 448 divisors, whose sum is σ = 15249851136. Its totient is φ = 967680000.

The previous prime is 4112327969. The next prime is 4112328013. The reversal of 4112328000 is 8232114.

It is a super-2 number, since 2×4112328000² = 33822483159168000000, which contains 22 as substring.

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, 9767790 + ... + 9768210.

Almost surely, 2^4112328000 is an apocalyptic number.

4112328000 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 4112328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624925568).

4112328000 is an abundant number, since it is smaller than the sum of its proper divisors (11137523136).

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

4112328000 is a wasteful number, since it uses less digits than its factorization.

4112328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4112328000 is about 64127.4356262591. The cubic root of 4112328000 is about 1602.1232228733.

The spelling of 4112328000 in words is "four billion, one hundred twelve million, three hundred twenty-eight thousand".