641144000 has 168 divisors, whose sum is σ = 1831738272. Its totient is φ = 217766400.

The previous prime is 641143991. The next prime is 641144011. The reversal of 641144000 is 441146.

It is a happy number.

It is a super-2 number, since 2×641144000² = 822131257472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991947 + ... + 5992053.

It is an arithmetic number, because the mean of its divisors is an integer number (10903204).

Almost surely, 2^641144000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915869136).

641144000 is an abundant number, since it is smaller than the sum of its proper divisors (1190594272).

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

641144000 is an equidigital number, since it uses as much as digits as its factorization.

641144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 641144000 is about 25320.8214716664. The cubic root of 641144000 is about 862.2870439726.

Adding to 641144000 its reverse (441146), we get a palindrome (641585146).

The spelling of 641144000 in words is "six hundred forty-one million, one hundred forty-four thousand".