4164955200 has 420 divisors, whose sum is σ = 17500185472. Its totient is φ = 951782400.

The previous prime is 4164955159. The next prime is 4164955217. The reversal of 4164955200 is 25594614.

4164955200 is a `hidden beast` number, since 4 + 1 + 649 + 5 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 904905 + ... + 909495.

Almost surely, 2^4164955200 is an apocalyptic number.

4164955200 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 4164955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750092736).

4164955200 is an abundant number, since it is smaller than the sum of its proper divisors (13335230272).

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

4164955200 is a wasteful number, since it uses less digits than its factorization.

4164955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4164955200 is about 64536.4641113843. The cubic root of 4164955200 is about 1608.9286237836.

The spelling of 4164955200 in words is "four billion, one hundred sixty-four million, nine hundred fifty-five thousand, two hundred".