4194630000 has 600 divisors, whose sum is σ = 16920583680. Its totient is φ = 959040000.

The previous prime is 4194629987. The next prime is 4194630017. The reversal of 4194630000 is 364914.

4194630000 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 (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18809889 + ... + 18810111.

Almost surely, 2^4194630000 is an apocalyptic number.

4194630000 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 4194630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460291840).

4194630000 is an abundant number, since it is smaller than the sum of its proper divisors (12725953680).

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

4194630000 is a wasteful number, since it uses less digits than its factorization.

4194630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4194630000 is about 64765.9632831937. The cubic root of 4194630000 is about 1612.7407248328.

Adding to 4194630000 its reverse (364914), we get a palindrome (4194994914).

The spelling of 4194630000 in words is "four billion, one hundred ninety-four million, six hundred thirty thousand".