4120332000 has 192 divisors, whose sum is σ = 13553676864. Its totient is φ = 1094246400.

The previous prime is 4120331983. The next prime is 4120332019. The reversal of 4120332000 is 2330214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3755452 + ... + 3756548.

It is an arithmetic number, because the mean of its divisors is an integer number (70592067).

Almost surely, 2^4120332000 is an apocalyptic number.

4120332000 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 4120332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776838432).

4120332000 is an abundant number, since it is smaller than the sum of its proper divisors (9433344864).

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

4120332000 is a wasteful number, since it uses less digits than its factorization.

4120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4120332000 is about 64189.8122757810. The cubic root of 4120332000 is about 1603.1619762417.

Adding to 4120332000 its reverse (2330214), we get a palindrome (4122662214).

The spelling of 4120332000 in words is "four billion, one hundred twenty million, three hundred thirty-two thousand".