100440648000 has 2016 divisors, whose sum is σ = 475732717824. Its totient is φ = 20528640000.

The previous prime is 100440647971. The next prime is 100440648001. The reversal of 100440648000 is 846044001.

100440648000 is a `hidden beast` number, since 10 + 0 + 4 + 4 + 0 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×100440648000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440648001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1646567970 + ... + 1646568030.

Almost surely, 2^100440648000 is an apocalyptic number.

100440648000 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 100440648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237866358912).

100440648000 is an abundant number, since it is smaller than the sum of its proper divisors (375292069824).

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

100440648000 is an equidigital number, since it uses as much as digits as its factorization.

100440648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 100440648000 in words is "one hundred billion, four hundred forty million, six hundred forty-eight thousand".