4064393756544 has 512 divisors, whose sum is σ = 12053722475520. Its totient is φ = 1203240960000.

The previous prime is 4064393756519. The next prime is 4064393756551. The reversal of 4064393756544 is 4456573934604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16864704264 + ... + 16864704504.

It is an arithmetic number, because the mean of its divisors is an integer number (23542426710).

Almost surely, 2^{4064393756544} is an apocalyptic number.

4064393756544 is a gapful number since it is divisible by the number (44) 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 4064393756544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026861237760).

4064393756544 is an abundant number, since it is smaller than the sum of its proper divisors (7989328718976).

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

4064393756544 is a wasteful number, since it uses less digits than its factorization.

4064393756544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 60.

The spelling of 4064393756544 in words is "four trillion, sixty-four billion, three hundred ninety-three million, seven hundred fifty-six thousand, five hundred forty-four".