441561986648064 has 384 divisors, whose sum is σ = 1366207844601600. Its totient is φ = 140651171020800.

The previous prime is 441561986648033. The next prime is 441561986648071. The reversal of 441561986648064 is 460846689165144.

441561986648064 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 6 + 1 + 9 + 86 + 6 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 441561986647983 and 441561986648001.

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 31 ways as a sum of consecutive naturals, for example, 1313609614 + ... + 1313945714.

It is an arithmetic number, because the mean of its divisors is an integer number (3557832928650).

Almost surely, 2^{441561986648064} 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 441561986648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683103922300800).

441561986648064 is an abundant number, since it is smaller than the sum of its proper divisors (924645857953536).

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

441561986648064 is a wasteful number, since it uses less digits than its factorization.

441561986648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337188 (or 337162 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 441561986648064 in words is "four hundred forty-one trillion, five hundred sixty-one billion, nine hundred eighty-six million, six hundred forty-eight thousand, sixty-four".