4443314030040 has 256 divisors, whose sum is σ = 14241744000000. Its totient is φ = 1105742389248.

The previous prime is 4443314030039. The next prime is 4443314030053. The reversal of 4443314030040 is 400304133444.

It is a super-4 number, since 4×4443314030040⁴ (a number of 52 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134633461 + ... + 134666459.

It is an arithmetic number, because the mean of its divisors is an integer number (55631812500).

Almost surely, 2^{4443314030040} is an apocalyptic number.

4443314030040 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 4443314030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120872000000).

4443314030040 is an abundant number, since it is smaller than the sum of its proper divisors (9798429969960).

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

4443314030040 is a wasteful number, since it uses less digits than its factorization.

4443314030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4443314030040 its reverse (400304133444), we get a palindrome (4843618163484).

The spelling of 4443314030040 in words is "four trillion, four hundred forty-three billion, three hundred fourteen million, thirty thousand, forty".