4101445440000 has 600 divisors, whose sum is σ = 14868717409260. Its totient is φ = 1088016384000.

The previous prime is 4101445439989. The next prime is 4101445440019. The reversal of 4101445440000 is 445441014.

It can be written as a sum of positive squares in 10 ways, for example, as 642023997696 + 3459421442304 = 801264^2 + 1859952^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 59 ways as a sum of consecutive naturals, for example, 567356386 + ... + 567363614.

Almost surely, 2^{4101445440000} is an apocalyptic number.

4101445440000 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 4101445440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434358704630).

4101445440000 is an abundant number, since it is smaller than the sum of its proper divisors (10767271969260).

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

4101445440000 is an equidigital number, since it uses as much as digits as its factorization.

4101445440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 4101445440000 in words is "four trillion, one hundred one billion, four hundred forty-five million, four hundred forty thousand".