4193811936 has 480 divisors, whose sum is σ = 13933624320. Its totient is φ = 1231718400.

The previous prime is 4193811929. The next prime is 4193812013. The reversal of 4193811936 is 6391183914.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4193811891 and 4193811900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62594175 + ... + 62594241.

It is an arithmetic number, because the mean of its divisors is an integer number (29028384).

Almost surely, 2^4193811936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4193811936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966812160).

4193811936 is an abundant number, since it is smaller than the sum of its proper divisors (9739812384).

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

4193811936 is a wasteful number, since it uses less digits than its factorization.

4193811936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 4193811936 is about 64759.6474357296. The cubic root of 4193811936 is about 1612.6358756244.

The spelling of 4193811936 in words is "four billion, one hundred ninety-three million, eight hundred eleven thousand, nine hundred thirty-six".