4113252000 has 1152 divisors, whose sum is σ = 18545200128. Its totient is φ = 847872000.

The previous prime is 4113251981. The next prime is 4113252029. The reversal of 4113252000 is 2523114.

4113252000 is a `hidden beast` number, since 411 + 3 + 252 + 0 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87515977 + ... + 87516023.

It is an arithmetic number, because the mean of its divisors is an integer number (16098264).

Almost surely, 2^4113252000 is an apocalyptic number.

4113252000 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 4113252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272600064).

4113252000 is an abundant number, since it is smaller than the sum of its proper divisors (14431948128).

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

4113252000 is a wasteful number, since it uses less digits than its factorization.

4113252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4113252000 is about 64134.6396263361. The cubic root of 4113252000 is about 1602.2432077089.

Adding to 4113252000 its reverse (2523114), we get a palindrome (4115775114).

The spelling of 4113252000 in words is "four billion, one hundred thirteen million, two hundred fifty-two thousand".