444141026406 has 96 divisors (see below), whose sum is σ = 1200399782400. Its totient is φ = 115299555840.

The previous prime is 444141026353. The next prime is 444141026447. The reversal of 444141026406 is 604620141444.

444141026406 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 4 + 1 + 0 + 2 + 640 + 6 = 666.

It is a super-2 number, since 2×444141026406² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2533335 + ... + 2702973.

It is an arithmetic number, because the mean of its divisors is an integer number (12504164400).

Almost surely, 2^444141026406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444141026406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600199891200).

444141026406 is an abundant number, since it is smaller than the sum of its proper divisors (756258755994).

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

444141026406 is a wasteful number, since it uses less digits than its factorization.

444141026406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171554 (or 171551 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 444141026406 in words is "four hundred forty-four billion, one hundred forty-one million, twenty-six thousand, four hundred six".