441531640000 has 280 divisors, whose sum is σ = 1197066478608. Its totient is φ = 160197120000.

The previous prime is 441531639947. The next prime is 441531640001. The reversal of 441531640000 is 46135144.

It is not an unprimeable number, because it can be changed into a prime (441531640001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 269719182 + ... + 269720818.

Almost surely, 2^441531640000 is an apocalyptic number.

441531640000 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 441531640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598533239304).

441531640000 is an abundant number, since it is smaller than the sum of its proper divisors (755534838608).

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

441531640000 is a wasteful number, since it uses less digits than its factorization.

441531640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 441531640000 its reverse (46135144), we get a palindrome (441577775144).

It can be divided in two parts, 44 and 1531640000, that multiplied together give a square (67392160000 = 259600²).

The spelling of 441531640000 in words is "four hundred forty-one billion, five hundred thirty-one million, six hundred forty thousand".