4392411172864 has 351 divisors, whose sum is σ = 10500530010579. Its totient is φ = 1834921820160.

The previous prime is 4392411172861. The next prime is 4392411172913. The reversal of 4392411172864 is 4682711142934.

The square root of 4392411172864 is 2095808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 73462681600 + 4318948491264 = 271040^2 + 2078208^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4392411172861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19180834702 + ... + 19180834930.

Almost surely, 2^{4392411172864} is an apocalyptic number.

4392411172864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4392411172864 is the 2095808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4392411172864

4392411172864 is an abundant number, since it is smaller than the sum of its proper divisors (6108118837715).

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

4392411172864 is an equidigital number, since it uses as much as digits as its factorization.

4392411172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 255 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 4392411172864 in words is "four trillion, three hundred ninety-two billion, four hundred eleven million, one hundred seventy-two thousand, eight hundred sixty-four".