4067667440 has 80 divisors (see below), whose sum is σ = 9992053920. Its totient is φ = 1535708160.

The previous prime is 4067667437. The next prime is 4067667463. The reversal of 4067667440 is 447667604.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4067667391 and 4067667400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416210 + ... + 425870.

It is an arithmetic number, because the mean of its divisors is an integer number (124900674).

Almost surely, 2^4067667440 is an apocalyptic number.

4067667440 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 4067667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996026960).

4067667440 is an abundant number, since it is smaller than the sum of its proper divisors (5924386480).

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

4067667440 is a wasteful number, since it uses less digits than its factorization.

4067667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The square root of 4067667440 is about 63778.2677720240. The cubic root of 4067667440 is about 1596.3023256692.

The spelling of 4067667440 in words is "four billion, sixty-seven million, six hundred sixty-seven thousand, four hundred forty".