4115412000 has 432 divisors, whose sum is σ = 16997467032. Its totient is φ = 940262400.

The previous prime is 4115411981. The next prime is 4115412043. The reversal of 4115412000 is 2145114.

4115412000 is a `hidden beast` number, since 411 + 54 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 919544976 + 3195867024 = 30324^2 + 56532^2 .

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1762834 + ... + 1765166.

Almost surely, 2^4115412000 is an apocalyptic number.

4115412000 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 4115412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498733516).

4115412000 is an abundant number, since it is smaller than the sum of its proper divisors (12882055032).

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

4115412000 is a wasteful number, since it uses less digits than its factorization.

4115412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4115412000 is about 64151.4769900117. The cubic root of 4115412000 is about 1602.5236216575.

Adding to 4115412000 its reverse (2145114), we get a palindrome (4117557114).

The spelling of 4115412000 in words is "four billion, one hundred fifteen million, four hundred twelve thousand".