444321413213040 has 400 divisors, whose sum is σ = 1702400045718240. Its totient is φ = 106504007639040.

The previous prime is 444321413213003. The next prime is 444321413213047. The reversal of 444321413213040 is 40312314123444.

444321413213040 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 21 + 4 + 1 + 321 + 304 + 0 = 666.

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 = 444321413212986 and 444321413213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321413213047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28675549 + ... + 41363388.

Almost surely, 2^{444321413213040} is an apocalyptic number.

444321413213040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444321413213040 is an abundant number, since it is smaller than the sum of its proper divisors (1258078632505200).

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

444321413213040 is a wasteful number, since it uses less digits than its factorization.

444321413213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70039062 (or 70039047 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444321413213040 its reverse (40312314123444), we get a palindrome (484633727336484).

The spelling of 444321413213040 in words is "four hundred forty-four trillion, three hundred twenty-one billion, four hundred thirteen million, two hundred thirteen thousand, forty".