4071726144 has 280 divisors, whose sum is σ = 12915656160. Its totient is φ = 1264564224.

The previous prime is 4071726119. The next prime is 4071726167. The reversal of 4071726144 is 4416271704.

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 = 4071726099 and 4071726108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6598924 + ... + 6599540.

Almost surely, 2^4071726144 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 4071726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457828080).

4071726144 is an abundant number, since it is smaller than the sum of its proper divisors (8843930016).

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

4071726144 is a wasteful number, since it uses less digits than its factorization.

4071726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4071726144 is about 63810.0787023492. The cubic root of 4071726144 is about 1596.8330774283.

Adding to 4071726144 its reverse (4416271704), we get a palindrome (8487997848).

The spelling of 4071726144 in words is "four billion, seventy-one million, seven hundred twenty-six thousand, one hundred forty-four".