4124983200 has 576 divisors, whose sum is σ = 15434012160. Its totient is φ = 949616640.

The previous prime is 4124983189. The next prime is 4124983211. The reversal of 4124983200 is 23894214.

It is an interprime number because it is at equal distance from previous prime (4124983189) and next prime (4124983211).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42525552 + ... + 42525648.

It is an arithmetic number, because the mean of its divisors is an integer number (26795160).

Almost surely, 2^4124983200 is an apocalyptic number.

4124983200 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 4124983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717006080).

4124983200 is an abundant number, since it is smaller than the sum of its proper divisors (11309028960).

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

4124983200 is a wasteful number, since it uses less digits than its factorization.

4124983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4124983200 is about 64226.0321053699. The cubic root of 4124983200 is about 1603.7649877595.

The spelling of 4124983200 in words is "four billion, one hundred twenty-four million, nine hundred eighty-three thousand, two hundred".