4152200416 has 288 divisors, whose sum is σ = 11003973120. Its totient is φ = 1524096000.

The previous prime is 4152200401. The next prime is 4152200431. The reversal of 4152200416 is 6140022514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4152200401) and next prime (4152200431).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27497941 + ... + 27498091.

It is an arithmetic number, because the mean of its divisors is an integer number (38208240).

Almost surely, 2^4152200416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4152200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501986560).

4152200416 is an abundant number, since it is smaller than the sum of its proper divisors (6851772704).

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

4152200416 is a wasteful number, since it uses less digits than its factorization.

4152200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4152200416 is about 64437.5699107283. The cubic root of 4152200416 is about 1607.2845467791.

The spelling of 4152200416 in words is "four billion, one hundred fifty-two million, two hundred thousand, four hundred sixteen".