441782557440 has 1728 divisors, whose sum is σ = 1836091514880. Its totient is φ = 89924567040.

The previous prime is 441782557399. The next prime is 441782557459. The reversal of 441782557440 is 44755287144.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4963848916 + ... + 4963849004.

It is an arithmetic number, because the mean of its divisors is an integer number (1062552960).

Almost surely, 2^441782557440 is an apocalyptic number.

441782557440 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 441782557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918045757440).

441782557440 is an abundant number, since it is smaller than the sum of its proper divisors (1394308957440).

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

441782557440 is a wasteful number, since it uses less digits than its factorization.

441782557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 51.

The spelling of 441782557440 in words is "four hundred forty-one billion, seven hundred eighty-two million, five hundred fifty-seven thousand, four hundred forty".