6441201000 has 384 divisors, whose sum is σ = 24326265600. Its totient is φ = 1584748800.

The previous prime is 6441200993. The next prime is 6441201029. The reversal of 6441201000 is 1021446.

6441201000 is a `hidden beast` number, since 644 + 1 + 20 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3157981 + ... + 3160019.

It is an arithmetic number, because the mean of its divisors is an integer number (63349650).

Almost surely, 2^6441201000 is an apocalyptic number.

6441201000 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 6441201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163132800).

6441201000 is an abundant number, since it is smaller than the sum of its proper divisors (17885064600).

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

6441201000 is a wasteful number, since it uses less digits than its factorization.

6441201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6441201000 is about 80257.0931444692. The cubic root of 6441201000 is about 1860.6111415265.

Adding to 6441201000 its reverse (1021446), we get a palindrome (6442222446).

The spelling of 6441201000 in words is "six billion, four hundred forty-one million, two hundred one thousand".