4020244330440 has 512 divisors, whose sum is σ = 13318160486400. Its totient is φ = 964870410240.

The previous prime is 4020244330429. The next prime is 4020244330483. The reversal of 4020244330440 is 440334420204.

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 = 4020244330398 and 4020244330407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6082063710 + ... + 6082064370.

It is an arithmetic number, because the mean of its divisors is an integer number (26012032200).

Almost surely, 2^{4020244330440} is an apocalyptic number.

4020244330440 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 4020244330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659080243200).

4020244330440 is an abundant number, since it is smaller than the sum of its proper divisors (9297916155960).

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

4020244330440 is a wasteful number, since it uses less digits than its factorization.

4020244330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4020244330440 its reverse (440334420204), we get a palindrome (4460578750644).

The spelling of 4020244330440 in words is "four trillion, twenty billion, two hundred forty-four million, three hundred thirty thousand, four hundred forty".