444412120103424 has 480 divisors, whose sum is σ = 1426265188096320. Its totient is φ = 132090667008000.

The previous prime is 444412120103417. The next prime is 444412120103537. The reversal of 444412120103424 is 424301021214444.

444412120103424 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 2 + 120 + 103 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547379572 + ... + 548190860.

It is an arithmetic number, because the mean of its divisors is an integer number (2971385808534).

Almost surely, 2^{444412120103424} is an apocalyptic number.

444412120103424 is a gapful number since it is divisible by the number (44) 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 444412120103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713132594048160).

444412120103424 is an abundant number, since it is smaller than the sum of its proper divisors (981853067992896).

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

444412120103424 is a wasteful number, since it uses less digits than its factorization.

444412120103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811532 (or 811513 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 444412120103424 its reverse (424301021214444), we get a palindrome (868713141317868).

The spelling of 444412120103424 in words is "four hundred forty-four trillion, four hundred twelve billion, one hundred twenty million, one hundred three thousand, four hundred twenty-four".