441343805760 has 2240 divisors, whose sum is σ = 1998573502464. Its totient is φ = 90873446400.

The previous prime is 441343805723. The next prime is 441343805801. The reversal of 441343805760 is 67508343144.

441343805760 is a `hidden beast` number, since 4 + 41 + 3 + 4 + 38 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2642777197 + ... + 2642777363.

Almost surely, 2^441343805760 is an apocalyptic number.

441343805760 is a gapful number since it is divisible by the number (40) 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 441343805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999286751232).

441343805760 is an abundant number, since it is smaller than the sum of its proper divisors (1557229696704).

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

441343805760 is a wasteful number, since it uses less digits than its factorization.

441343805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 441343805760 in words is "four hundred forty-one billion, three hundred forty-three million, eight hundred five thousand, seven hundred sixty".