4128478200 has 384 divisors, whose sum is σ = 17731008000. Its totient is φ = 857779200.

The previous prime is 4128478199. The next prime is 4128478201. The reversal of 4128478200 is 28748214.

It is an interprime number because it is at equal distance from previous prime (4128478199) and next prime (4128478201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128478201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410836 + ... + 420764.

It is an arithmetic number, because the mean of its divisors is an integer number (46174500).

Almost surely, 2^4128478200 is an apocalyptic number.

4128478200 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 4128478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865504000).

4128478200 is an abundant number, since it is smaller than the sum of its proper divisors (13602529800).

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

4128478200 is a wasteful number, since it uses less digits than its factorization.

4128478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4128478200 is about 64253.2349380169. The cubic root of 4128478200 is about 1604.2178038533.

The spelling of 4128478200 in words is "four billion, one hundred twenty-eight million, four hundred seventy-eight thousand, two hundred".