4163431644 has 96 divisors (see below), whose sum is σ = 11106063360. Its totient is φ = 1348142976.

The previous prime is 4163431637. The next prime is 4163431663. The reversal of 4163431644 is 4461343614.

4163431644 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 4 + 3 + 1 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4163431599 and 4163431608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692419 + ... + 698405.

It is an arithmetic number, because the mean of its divisors is an integer number (115688160).

Almost surely, 2^4163431644 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 4163431644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553031680).

4163431644 is an abundant number, since it is smaller than the sum of its proper divisors (6942631716).

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

4163431644 is a wasteful number, since it uses less digits than its factorization.

4163431644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6176 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4163431644 is about 64524.6591932108. The cubic root of 4163431644 is about 1608.7324158455.

The spelling of 4163431644 in words is "four billion, one hundred sixty-three million, four hundred thirty-one thousand, six hundred forty-four".