4071826440 has 384 divisors, whose sum is σ = 15284505600. Its totient is φ = 930816000.

The previous prime is 4071826439. The next prime is 4071826463. The reversal of 4071826440 is 446281704.

4071826440 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 8 + 2 + 644 + 0 = 666.

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 = 4071826395 and 4071826404.

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 95 ways as a sum of consecutive naturals, for example, 5032756 + ... + 5033564.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^4071826440 is an apocalyptic number.

4071826440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4071826440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7642252800).

4071826440 is an abundant number, since it is smaller than the sum of its proper divisors (11212679160).

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

4071826440 is a wasteful number, since it uses less digits than its factorization.

4071826440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 902 counting only the distinct ones).

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

The square root of 4071826440 is about 63810.8645921680. The cubic root of 4071826440 is about 1596.8461885471.

The spelling of 4071826440 in words is "four billion, seventy-one million, eight hundred twenty-six thousand, four hundred forty".