10204445642240 has 80 divisors (see below), whose sum is σ = 24691219169760. Its totient is φ = 4044330639360.

The previous prime is 10204445642221. The next prime is 10204445642323. The reversal of 10204445642240 is 4224654440201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10204445642194 and 10204445642203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18005876 + ... + 18563955.

It is an arithmetic number, because the mean of its divisors is an integer number (308640239622).

Almost surely, 2^{10204445642240} is an apocalyptic number.

10204445642240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204445642240 is an abundant number, since it is smaller than the sum of its proper divisors (14486773527520).

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

10204445642240 is an equidigital number, since it uses as much as digits as its factorization.

10204445642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36569963 (or 36569947 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 10204445642240 in words is "ten trillion, two hundred four billion, four hundred forty-five million, six hundred forty-two thousand, two hundred forty".