4440404040000 has 560 divisors, whose sum is σ = 15564658914816. Its totient is φ = 1114905600000.

The previous prime is 4440404039993. The next prime is 4440404040043. The reversal of 4440404040000 is 404040444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 79 ways as a sum of consecutive naturals, for example, 137623870 + ... + 137656130.

Almost surely, 2^{4440404040000} is an apocalyptic number.

4440404040000 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 4440404040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782329457408).

4440404040000 is an abundant number, since it is smaller than the sum of its proper divisors (11124254874816).

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

4440404040000 is a wasteful number, since it uses less digits than its factorization.

4440404040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32364 (or 32339 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4440404040000 its reverse (404040444), we get a palindrome (4440808080444).

The spelling of 4440404040000 in words is "four trillion, four hundred forty billion, four hundred four million, forty thousand".