444321413233240 has 32 divisors (see below), whose sum is σ = 1004957332565760. Its totient is φ = 176798049241600.

The previous prime is 444321413233223. The next prime is 444321413233241. The reversal of 444321413233240 is 42332314123444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444321413233193 and 444321413233202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321413233241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29078618881 + ... + 29078634160.

It is an arithmetic number, because the mean of its divisors is an integer number (31404916642680).

Almost surely, 2^{444321413233240} is an apocalyptic number.

444321413233240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444321413233240 is an abundant number, since it is smaller than the sum of its proper divisors (560635919332520).

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

444321413233240 is a wasteful number, since it uses less digits than its factorization.

444321413233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58157253243 (or 58157253239 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 444321413233240 its reverse (42332314123444), we get a palindrome (486653727356684).

The spelling of 444321413233240 in words is "four hundred forty-four trillion, three hundred twenty-one billion, four hundred thirteen million, two hundred thirty-three thousand, two hundred forty".