4111432416 has 432 divisors, whose sum is σ = 14895985104. Its totient is φ = 1065996288.

The previous prime is 4111432393. The next prime is 4111432427. The reversal of 4111432416 is 6142341114.

4111432416 is a `hidden beast` number, since 411 + 1 + 4 + 3 + 241 + 6 = 666.

It is a super-2 number, since 2×4111432416² = 33807753022671194112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4111432416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13392135 + ... + 13392441.

It is an arithmetic number, because the mean of its divisors is an integer number (34481447).

Almost surely, 2^4111432416 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 4111432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447992552).

4111432416 is an abundant number, since it is smaller than the sum of its proper divisors (10784552688).

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

4111432416 is a wasteful number, since it uses less digits than its factorization.

4111432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4111432416 is about 64120.4524001508. The cubic root of 4111432416 is about 1602.0069108073.

The spelling of 4111432416 in words is "four billion, one hundred eleven million, four hundred thirty-two thousand, four hundred sixteen".