4193478432 has 192 divisors, whose sum is σ = 14369685120. Its totient is φ = 1172966400.

The previous prime is 4193478413. The next prime is 4193478437. The reversal of 4193478432 is 2348743914.

It is a super-2 number, since 2×4193478432² = 35170522719298357248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4193478437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106582 + ... + 140522.

It is an arithmetic number, because the mean of its divisors is an integer number (74842110).

Almost surely, 2^4193478432 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 4193478432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184842560).

4193478432 is an abundant number, since it is smaller than the sum of its proper divisors (10176206688).

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

4193478432 is a wasteful number, since it uses less digits than its factorization.

4193478432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33984 (or 33970 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4193478432 is about 64757.0724477257. The cubic root of 4193478432 is about 1612.5931273419.

The spelling of 4193478432 in words is "four billion, one hundred ninety-three million, four hundred seventy-eight thousand, four hundred thirty-two".