441036649353664 has 224 divisors, whose sum is σ = 1078015567104000. Its totient is φ = 174335448268800.

The previous prime is 441036649353647. The next prime is 441036649353731. The reversal of 441036649353664 is 466353946630144.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 441036649353596 and 441036649353605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47943972937 + ... + 47943982135.

It is an arithmetic number, because the mean of its divisors is an integer number (4812569496000).

Almost surely, 2^{441036649353664} 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 441036649353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539007783552000).

441036649353664 is an abundant number, since it is smaller than the sum of its proper divisors (636978917750336).

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

441036649353664 is a wasteful number, since it uses less digits than its factorization.

441036649353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14971 (or 14961 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 64.

The spelling of 441036649353664 in words is "four hundred forty-one trillion, thirty-six billion, six hundred forty-nine million, three hundred fifty-three thousand, six hundred sixty-four".