441538007040 has 832 divisors, whose sum is σ = 1704147379200. Its totient is φ = 107810390016.

The previous prime is 441538007023. The next prime is 441538007077. The reversal of 441538007040 is 40700835144.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441538006986 and 441538007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1718046592 + ... + 1718046848.

Almost surely, 2^441538007040 is an apocalyptic number.

441538007040 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 441538007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852073689600).

441538007040 is an abundant number, since it is smaller than the sum of its proper divisors (1262609372160).

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

441538007040 is a wasteful number, since it uses less digits than its factorization.

441538007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 441538007040 in words is "four hundred forty-one billion, five hundred thirty-eight million, seven thousand, forty".