4067403984 has 240 divisors, whose sum is σ = 13576908800. Its totient is φ = 1154736000.

The previous prime is 4067403971. The next prime is 4067404001. The reversal of 4067403984 is 4893047604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5415609 + ... + 5416359.

Almost surely, 2^4067403984 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 4067403984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788454400).

4067403984 is an abundant number, since it is smaller than the sum of its proper divisors (9509504816).

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

4067403984 is a wasteful number, since it uses less digits than its factorization.

4067403984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4067403984 is about 63776.2023328451. The cubic root of 4067403984 is about 1596.2678616501.

The spelling of 4067403984 in words is "four billion, sixty-seven million, four hundred three thousand, nine hundred eighty-four".