444517350163040 has 384 divisors, whose sum is σ = 1316485600690176. Its totient is φ = 137791438848000.

The previous prime is 444517350163037. The next prime is 444517350163111. The reversal of 444517350163040 is 40361053715444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10544309642 + ... + 10544351798.

It is an arithmetic number, because the mean of its divisors is an integer number (3428347918464).

Almost surely, 2^{444517350163040} is an apocalyptic number.

444517350163040 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 444517350163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658242800345088).

444517350163040 is an abundant number, since it is smaller than the sum of its proper divisors (871968250527136).

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

444517350163040 is a wasteful number, since it uses less digits than its factorization.

444517350163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46862 (or 46854 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 444517350163040 in words is "four hundred forty-four trillion, five hundred seventeen billion, three hundred fifty million, one hundred sixty-three thousand, forty".