641440000 has 180 divisors, whose sum is σ = 1692145840. Its totient is φ = 241920000.

The previous prime is 641439961. The next prime is 641440027. The reversal of 641440000 is 44146.

It is a super-2 number, since 2×641440000² = 822890547200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 641440000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3039895 + ... + 3040105.

Almost surely, 2^641440000 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 641440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846072920).

641440000 is an abundant number, since it is smaller than the sum of its proper divisors (1050705840).

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

641440000 is an equidigital number, since it uses as much as digits as its factorization.

641440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 641440000 is about 25326.6657892428. The cubic root of 641440000 is about 862.4197222770.

Adding to 641440000 its reverse (44146), we get a palindrome (641484146).

It can be divided in two parts, 64 and 1440000, that multiplied together give a square (92160000 = 9600²).

The spelling of 641440000 in words is "six hundred forty-one million, four hundred forty thousand".