4411431936 has 176 divisors, whose sum is σ = 13488583680. Its totient is φ = 1422766080.

The previous prime is 4411431923. The next prime is 4411431979. The reversal of 4411431936 is 6391341144.

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 self number, because there is not a number n which added to its sum of digits gives 4411431936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854515 + ... + 859661.

It is an arithmetic number, because the mean of its divisors is an integer number (76639680).

Almost surely, 2^4411431936 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 4411431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744291840).

4411431936 is an abundant number, since it is smaller than the sum of its proper divisors (9077151744).

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

4411431936 is a wasteful number, since it uses less digits than its factorization.

4411431936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5183 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4411431936 is about 66418.6113675979. The cubic root of 4411431936 is about 1640.0604697117.

The spelling of 4411431936 in words is "four billion, four hundred eleven million, four hundred thirty-one thousand, nine hundred thirty-six".