444104241444400 has 120 divisors (see below), whose sum is σ = 1149264542075904. Its totient is φ = 164436913977600.

The previous prime is 444104241444397. The next prime is 444104241444407. The reversal of 444104241444400 is 4444142401444.

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

It is not an unprimeable number, because it can be changed into a prime (444104241444407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778298674 + ... + 778869073.

Almost surely, 2^{444104241444400} is an apocalyptic number.

444104241444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444104241444400 is an abundant number, since it is smaller than the sum of its proper divisors (705160300631504).

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

444104241444400 is a wasteful number, since it uses less digits than its factorization.

444104241444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557167819 (or 1557167808 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 444104241444400 its reverse (4444142401444), we get a palindrome (448548383845844).

The spelling of 444104241444400 in words is "four hundred forty-four trillion, one hundred four billion, two hundred forty-one million, four hundred forty-four thousand, four hundred".