4155043200 has 864 divisors, whose sum is σ = 17738630280. Its totient is φ = 851558400.

The previous prime is 4155043187. The next prime is 4155043213. The reversal of 4155043200 is 23405514.

It is an interprime number because it is at equal distance from previous prime (4155043187) and next prime (4155043213).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 107 ways as a sum of consecutive naturals, for example, 56918364 + ... + 56918436.

Almost surely, 2^4155043200 is an apocalyptic number.

4155043200 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 4155043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869315140).

4155043200 is an abundant number, since it is smaller than the sum of its proper divisors (13583587080).

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

4155043200 is a wasteful number, since it uses less digits than its factorization.

4155043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4155043200 is about 64459.6245722856. The cubic root of 4155043200 is about 1607.6512696393.

Adding to 4155043200 its reverse (23405514), we get a palindrome (4178448714).

The spelling of 4155043200 in words is "four billion, one hundred fifty-five million, forty-three thousand, two hundred".