10444441680 has 240 divisors, whose sum is σ = 37496100096. Its totient is φ = 2598942720.

The previous prime is 10444441643. The next prime is 10444441697. The reversal of 10444441680 is 8614444401.

10444441680 is a `hidden beast` number, since 10 + 44 + 444 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10444441680³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671269 + ... + 686651.

Almost surely, 2^10444441680 is an apocalyptic number.

10444441680 is a gapful number since it is divisible by the number (10) 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 10444441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748050048).

10444441680 is an abundant number, since it is smaller than the sum of its proper divisors (27051658416).

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

10444441680 is a wasteful number, since it uses less digits than its factorization.

10444441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15466 (or 15457 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10444441680 in words is "ten billion, four hundred forty-four million, four hundred forty-one thousand, six hundred eighty".