4168800000 has 432 divisors, whose sum is σ = 15488696160. Its totient is φ = 1105920000.

The previous prime is 4168799983. The next prime is 4168800001. The reversal of 4168800000 is 88614.

4168800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21599904 + ... + 21600096.

Almost surely, 2^4168800000 is an apocalyptic number.

4168800000 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 4168800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744348080).

4168800000 is an abundant number, since it is smaller than the sum of its proper divisors (11319896160).

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

4168800000 is an frugal number, since it uses more digits than its factorization.

4168800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4168800000 is about 64566.2450511101. The cubic root of 4168800000 is about 1609.4235555778.

Adding to 4168800000 its reverse (88614), we get a palindrome (4168888614).

The spelling of 4168800000 in words is "four billion, one hundred sixty-eight million, eight hundred thousand".