4067433777440 has 48 divisors (see below), whose sum is σ = 10482886149120. Its totient is φ = 1479066827520.

The previous prime is 4067433777439. The next prime is 4067433777467. The reversal of 4067433777440 is 447773347604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155519200 + ... + 1155522719.

It is an arithmetic number, because the mean of its divisors is an integer number (218393461440).

Almost surely, 2^{4067433777440} is an apocalyptic number.

4067433777440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4067433777440 is an abundant number, since it is smaller than the sum of its proper divisors (6415452371680).

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

4067433777440 is a wasteful number, since it uses less digits than its factorization.

4067433777440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311041945 (or 2311041937 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 56.

The spelling of 4067433777440 in words is "four trillion, sixty-seven billion, four hundred thirty-three million, seven hundred seventy-seven thousand, four hundred forty".