441324635721984 has 567 divisors, whose sum is σ = 1536643189245927. Its totient is φ = 126074602386432.

The previous prime is 441324635721967. The next prime is 441324635721989. The reversal of 441324635721984 is 489127536423144.

The square root of 441324635721984 is 21007728.

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

441324635721984 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 2 + 46 + 3 + 572 + 19 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (441324635721989) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 63527365999 + ... + 63527372945.

Almost surely, 2^{441324635721984} is an apocalyptic number.

441324635721984 is the 21007728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441324635721984

441324635721984 is an abundant number, since it is smaller than the sum of its proper divisors (1095318553523943).

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

441324635721984 is an frugal number, since it uses more digits than its factorization.

441324635721984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 6959 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 441324635721984 in words is "four hundred forty-one trillion, three hundred twenty-four billion, six hundred thirty-five million, seven hundred twenty-one thousand, nine hundred eighty-four".