441200010440 has 64 divisors (see below), whose sum is σ = 1135272240000. Its totient is φ = 151167518208.

The previous prime is 441200010397. The next prime is 441200010469. The reversal of 441200010440 is 44010002144.

It is a happy number.

It is a super-2 number, since 2×441200010440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 105869 + ... + 945308.

It is an arithmetic number, because the mean of its divisors is an integer number (17738628750).

Almost surely, 2^441200010440 is an apocalyptic number.

441200010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441200010440 is an abundant number, since it is smaller than the sum of its proper divisors (694072229560).

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

441200010440 is a wasteful number, since it uses less digits than its factorization.

441200010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052694 (or 1052690 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 441200010440 its reverse (44010002144), we get a palindrome (485210012584).

The spelling of 441200010440 in words is "four hundred forty-one billion, two hundred million, ten thousand, four hundred forty".