64441440 has 192 divisors, whose sum is σ = 257886720. Its totient is φ = 14722560.

The previous prime is 64441427. The next prime is 64441453. The reversal of 64441440 is 4414446.

64441440 is a `hidden beast` number, since 644 + 4 + 14 + 4 + 0 = 666.

64441440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64441427) and next prime (64441453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 29175 + ... + 31305.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^64441440 is an apocalyptic number.

64441440 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 64441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128943360).

64441440 is an abundant number, since it is smaller than the sum of its proper divisors (193445280).

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

64441440 is a wasteful number, since it uses less digits than its factorization.

64441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 64441440 is about 8027.5425878659. The cubic root of 64441440 is about 400.9175602652.

Adding to 64441440 its reverse (4414446), we get a palindrome (68855886).

The spelling of 64441440 in words is "sixty-four million, four hundred forty-one thousand, four hundred forty".