4200152000 has 168 divisors, whose sum is σ = 11435882640. Its totient is φ = 1526976000.

The previous prime is 4200151997. The next prime is 4200152009. The reversal of 4200152000 is 2510024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200152009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 965831 + ... + 970169.

It is an arithmetic number, because the mean of its divisors is an integer number (68070730).

Almost surely, 2^4200152000 is an apocalyptic number.

4200152000 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 4200152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717941320).

4200152000 is an abundant number, since it is smaller than the sum of its proper divisors (7235730640).

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

4200152000 is a wasteful number, since it uses less digits than its factorization.

4200152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4200152000 is about 64808.5796789283. The cubic root of 4200152000 is about 1613.4481093734.

Adding to 4200152000 its reverse (2510024), we get a palindrome (4202662024).

The spelling of 4200152000 in words is "four billion, two hundred million, one hundred fifty-two thousand".