444104141421000 has 512 divisors, whose sum is σ = 1454377528880640. Its totient is φ = 112711564800000.

The previous prime is 444104141420977. The next prime is 444104141421013. The reversal of 444104141421000 is 124141401444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225369815 + ... + 1225732185.

It is an arithmetic number, because the mean of its divisors is an integer number (2840581111095).

Almost surely, 2^{444104141421000} is an apocalyptic number.

444104141421000 is a gapful number since it is divisible by the number (40) 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 444104141421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727188764440320).

444104141421000 is an abundant number, since it is smaller than the sum of its proper divisors (1010273387459640).

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

444104141421000 is a wasteful number, since it uses less digits than its factorization.

444104141421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362674 (or 362660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 444104141421000 its reverse (124141401444), we get a palindrome (444228282822444).

The spelling of 444104141421000 in words is "four hundred forty-four trillion, one hundred four billion, one hundred forty-one million, four hundred twenty-one thousand".