4132415232 has 432 divisors, whose sum is σ = 13820955680. Its totient is φ = 1231718400.

The previous prime is 4132415143. The next prime is 4132415237. The reversal of 4132415232 is 2325142314.

4132415232 is a `hidden beast` number, since 4 + 13 + 2 + 415 + 232 = 666.

4132415232 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 (432).

It is a super-2 number, since 2×4132415232² = 34153711299331227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5760) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 4132415196 and 4132415205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132415237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67744482 + ... + 67744542.

Almost surely, 2^4132415232 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 4132415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910477840).

4132415232 is an abundant number, since it is smaller than the sum of its proper divisors (9688540448).

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

4132415232 is an frugal number, since it uses more digits than its factorization.

4132415232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4132415232 is about 64283.8644762432. The cubic root of 4132415232 is about 1604.7275841263.

Adding to 4132415232 its reverse (2325142314), we get a palindrome (6457557546).

The spelling of 4132415232 in words is "four billion, one hundred thirty-two million, four hundred fifteen thousand, two hundred thirty-two".