441350142640 has 240 divisors, whose sum is σ = 1150758721728. Its totient is φ = 157259520000.

The previous prime is 441350142617. The next prime is 441350142643. The reversal of 441350142640 is 46241053144.

It is a junction number, because it is equal to n+sod(n) for n = 441350142596 and 441350142605.

It is not an unprimeable number, because it can be changed into a prime (441350142643) 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 47 ways as a sum of consecutive naturals, for example, 173009365 + ... + 173011915.

Almost surely, 2^441350142640 is an apocalyptic number.

441350142640 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 441350142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575379360864).

441350142640 is an abundant number, since it is smaller than the sum of its proper divisors (709408579088).

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

441350142640 is a wasteful number, since it uses less digits than its factorization.

441350142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 441350142640 its reverse (46241053144), we get a palindrome (487591195784).

The spelling of 441350142640 in words is "four hundred forty-one billion, three hundred fifty million, one hundred forty-two thousand, six hundred forty".