441201831168384 has 1280 divisors, whose sum is σ = 1608748396738560. Its totient is φ = 118199579443200.

The previous prime is 441201831168271. The next prime is 441201831168419. The reversal of 441201831168384 is 483861138102144.

It is a happy number.

441201831168384 is a `hidden beast` number, since 4 + 4 + 1 + 20 + 1 + 83 + 1 + 168 + 384 = 666.

It is a super-2 number, since 2×441201831168384² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 441201831168384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4458200887 + ... + 4458299849.

It is an arithmetic number, because the mean of its divisors is an integer number (1256834684952).

Almost surely, 2^{441201831168384} is an apocalyptic number.

441201831168384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441201831168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804374198369280).

441201831168384 is an abundant number, since it is smaller than the sum of its proper divisors (1167546565570176).

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

441201831168384 is a wasteful number, since it uses less digits than its factorization.

441201831168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99141 (or 99120 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 441201831168384 in words is "four hundred forty-one trillion, two hundred one billion, eight hundred thirty-one million, one hundred sixty-eight thousand, three hundred eighty-four".