444104321400124 has 96 divisors (see below), whose sum is σ = 1026150008647680. Its totient is φ = 162818166604800.

The previous prime is 444104321400101. The next prime is 444104321400161. The reversal of 444104321400124 is 421004123401444.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 444104321400124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18996789 + ... + 35342419.

It is an arithmetic number, because the mean of its divisors is an integer number (10689062590080).

Almost surely, 2^{444104321400124} is an apocalyptic number.

444104321400124 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 444104321400124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513075004323840).

444104321400124 is an abundant number, since it is smaller than the sum of its proper divisors (582045687247556).

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

444104321400124 is a wasteful number, since it uses less digits than its factorization.

444104321400124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350859 (or 16350857 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 444104321400124 its reverse (421004123401444), we get a palindrome (865108444801568).

The spelling of 444104321400124 in words is "four hundred forty-four trillion, one hundred four billion, three hundred twenty-one million, four hundred thousand, one hundred twenty-four".