4400534335040 has 112 divisors (see below), whose sum is σ = 10504585137600. Its totient is φ = 1755881306112.

The previous prime is 4400534335037. The next prime is 4400534335051. The reversal of 4400534335040 is 405334350044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400516427 + ... + 400527413.

Almost surely, 2^{4400534335040} is an apocalyptic number.

4400534335040 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 4400534335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252292568800).

4400534335040 is an abundant number, since it is smaller than the sum of its proper divisors (6104050802560).

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

4400534335040 is a wasteful number, since it uses less digits than its factorization.

4400534335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13972 (or 13962 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 4400534335040 its reverse (405334350044), we get a palindrome (4805868685084).

The spelling of 4400534335040 in words is "four trillion, four hundred billion, five hundred thirty-four million, three hundred thirty-five thousand, forty".