4128616800 has 648 divisors, whose sum is σ = 18315421488. Its totient is φ = 856627200.

The previous prime is 4128616763. The next prime is 4128616831. The reversal of 4128616800 is 86168214.

4128616800 is a `hidden beast` number, since 412 + 86 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098062 + ... + 6098738.

Almost surely, 2^4128616800 is an apocalyptic number.

4128616800 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 4128616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157710744).

4128616800 is an abundant number, since it is smaller than the sum of its proper divisors (14186804688).

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

4128616800 is a wasteful number, since it uses less digits than its factorization.

4128616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4128616800 is about 64254.3134738828. The cubic root of 4128616800 is about 1604.2357557546.

The spelling of 4128616800 in words is "four billion, one hundred twenty-eight million, six hundred sixteen thousand, eight hundred".