4114242432 has 96 divisors (see below), whose sum is σ = 11892071880. Its totient is φ = 1365285888.

The previous prime is 4114242421. The next prime is 4114242443. The reversal of 4114242432 is 2342424114.

4114242432 is a `hidden beast` number, since 411 + 4 + 2 + 4 + 243 + 2 = 666.

4114242432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4114242421) and next prime (4114242443).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4114242396 and 4114242405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253638 + ... + 269370.

Almost surely, 2^4114242432 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 4114242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946035940).

4114242432 is an abundant number, since it is smaller than the sum of its proper divisors (7777829448).

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

4114242432 is a wasteful number, since it uses less digits than its factorization.

4114242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15980 (or 15965 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4114242432 is about 64142.3606675027. The cubic root of 4114242432 is about 1602.3717990352.

Adding to 4114242432 its reverse (2342424114), we get a palindrome (6456666546).

The spelling of 4114242432 in words is "four billion, one hundred fourteen million, two hundred forty-two thousand, four hundred thirty-two".