4194128000 has 64 divisors (see below), whose sum is σ = 10427690520. Its totient is φ = 1677644800.

The previous prime is 4194127999. The next prime is 4194128009. The reversal of 4194128000 is 8214914.

4194128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1542289984 + 2651838016 = 39272^2 + 51496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×4194128000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4194128009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115067 + ... + 147066.

Almost surely, 2^4194128000 is an apocalyptic number.

4194128000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4194128000 is an abundant number, since it is smaller than the sum of its proper divisors (6233562520).

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

4194128000 is an equidigital number, since it uses as much as digits as its factorization.

4194128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262162 (or 262140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 4194128000 is about 64762.0876748117. The cubic root of 4194128000 is about 1612.6763863697.

The spelling of 4194128000 in words is "four billion, one hundred ninety-four million, one hundred twenty-eight thousand".