6441300888000 has 896 divisors, whose sum is σ = 23493611022336. Its totient is φ = 1542094848000.

The previous prime is 6441300887963. The next prime is 6441300888031. The reversal of 6441300888000 is 8880031446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8508983622 + ... + 8508984378.

It is an arithmetic number, because the mean of its divisors is an integer number (26220548016).

Almost surely, 2^{6441300888000} is an apocalyptic number.

6441300888000 is a gapful number since it is divisible by the number (60) 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 6441300888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746805511168).

6441300888000 is an abundant number, since it is smaller than the sum of its proper divisors (17052310134336).

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

6441300888000 is a wasteful number, since it uses less digits than its factorization.

6441300888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 6441300888000 in words is "six trillion, four hundred forty-one billion, three hundred million, eight hundred eighty-eight thousand".