441932448400 has 135 divisors (see below), whose sum is σ = 1088416663419. Its totient is φ = 172438613760.

The previous prime is 441932448313. The next prime is 441932448401. The reversal of 441932448400 is 4844239144.

It is a happy number.

The square root of 441932448400 is 664780.

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 171399312016 + 270533136384 = 414004^2 + 520128^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441932448401) 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, 571710414 + ... + 571711186.

Almost surely, 2^441932448400 is an apocalyptic number.

441932448400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441932448400 is the 664780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441932448400

441932448400 is an abundant number, since it is smaller than the sum of its proper divisors (646484215019).

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

441932448400 is an frugal number, since it uses more digits than its factorization.

441932448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 441932448400 in words is "four hundred forty-one billion, nine hundred thirty-two million, four hundred forty-eight thousand, four hundred".