4440004010240 has 144 divisors (see below), whose sum is σ = 11072018548080. Its totient is φ = 1703835893760.

The previous prime is 4440004010227. The next prime is 4440004010249. The reversal of 4440004010240 is 420104000444.

It can be written as a sum of positive squares in 8 ways, for example, as 122119495936 + 4317884514304 = 349456^2 + 2077952^2 .

It is a super-2 number, since 2×4440004010240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4440004010249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446910 + ... + 6208770.

It is an arithmetic number, because the mean of its divisors is an integer number (76889017695).

Almost surely, 2^{4440004010240} is an apocalyptic number.

4440004010240 is a gapful number since it is divisible by the number (40) 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 4440004010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536009274040).

4440004010240 is an abundant number, since it is smaller than the sum of its proper divisors (6632014537840).

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

4440004010240 is a wasteful number, since it uses less digits than its factorization.

4440004010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762068 (or 762054 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 4440004010240 its reverse (420104000444), we get a palindrome (4860108010684).

The spelling of 4440004010240 in words is "four trillion, four hundred forty billion, four million, ten thousand, two hundred forty".