4071481344 has 420 divisors, whose sum is σ = 14317300296. Its totient is φ = 1112702976.

The previous prime is 4071481327. The next prime is 4071481373. The reversal of 4071481344 is 4431841704.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4071481299 and 4071481308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 177020917 + ... + 177020939.

Almost surely, 2^4071481344 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 4071481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158650148).

4071481344 is an abundant number, since it is smaller than the sum of its proper divisors (10245818952).

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

4071481344 is an frugal number, since it uses more digits than its factorization.

4071481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4071481344 is about 63808.1604812425. The cubic root of 4071481344 is about 1596.8010752292.

The spelling of 4071481344 in words is "four billion, seventy-one million, four hundred eighty-one thousand, three hundred forty-four".