441829506048 has 352 divisors, whose sum is σ = 1428120304128. Its totient is φ = 118554624000.

The previous prime is 441829506011. The next prime is 441829506049. The reversal of 441829506048 is 840605928144.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441829506049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219705363 + ... + 219707373.

Almost surely, 2^441829506048 is an apocalyptic number.

441829506048 is a gapful number since it is divisible by the number (48) 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 441829506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714060152064).

441829506048 is an abundant number, since it is smaller than the sum of its proper divisors (986290798080).

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

441829506048 is a wasteful number, since it uses less digits than its factorization.

441829506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 441829506048 in words is "four hundred forty-one billion, eight hundred twenty-nine million, five hundred six thousand, forty-eight".