5440970304 has 336 divisors, whose sum is σ = 19744797696. Its totient is φ = 1391385600.

The previous prime is 5440970303. The next prime is 5440970329. The reversal of 5440970304 is 4030790445.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5440970303) 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 47 ways as a sum of consecutive naturals, for example, 2970669 + ... + 2972499.

Almost surely, 2^5440970304 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 5440970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872398848).

5440970304 is an abundant number, since it is smaller than the sum of its proper divisors (14303827392).

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

5440970304 is a wasteful number, since it uses less digits than its factorization.

5440970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5440970304 is about 73762.9331304009. The cubic root of 5440970304 is about 1758.8364278778.

The spelling of 5440970304 in words is "five billion, four hundred forty million, nine hundred seventy thousand, three hundred four".