641447040 has 256 divisors, whose sum is σ = 2275660800. Its totient is φ = 152616960.

The previous prime is 641447033. The next prime is 641447041. The reversal of 641447040 is 40744146.

It is a super-2 number, since 2×641447040² = 822908610249523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 641446989 and 641447007.

It is not an unprimeable number, because it can be changed into a prime (641447041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773346 + ... + 774174.

It is an arithmetic number, because the mean of its divisors is an integer number (8889300).

Almost surely, 2^641447040 is an apocalyptic number.

641447040 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 641447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137830400).

641447040 is an abundant number, since it is smaller than the sum of its proper divisors (1634213760).

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

641447040 is a wasteful number, since it uses less digits than its factorization.

641447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 641447040 is about 25326.8047728094. The cubic root of 641447040 is about 862.4228773721.

The spelling of 641447040 in words is "six hundred forty-one million, four hundred forty-seven thousand, forty".