4432002011440 has 160 divisors (see below), whose sum is σ = 11076408921600. Its totient is φ = 1644170711040.

The previous prime is 4432002011429. The next prime is 4432002011461. The reversal of 4432002011440 is 441102002344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21510349 + ... + 21715411.

It is an arithmetic number, because the mean of its divisors is an integer number (69227555760).

Almost surely, 2^{4432002011440} is an apocalyptic number.

4432002011440 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 4432002011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538204460800).

4432002011440 is an abundant number, since it is smaller than the sum of its proper divisors (6644406910160).

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

4432002011440 is a wasteful number, since it uses less digits than its factorization.

4432002011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205395 (or 205389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4432002011440 its reverse (441102002344), we get a palindrome (4873104013784).

The spelling of 4432002011440 in words is "four trillion, four hundred thirty-two billion, two million, eleven thousand, four hundred forty".