440048004000 has 192 divisors, whose sum is σ = 1572652029312. Its totient is φ = 106678272000.

The previous prime is 440048003963. The next prime is 440048004043. The reversal of 440048004000 is 400840044.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534849 + ... + 1798848.

It is an arithmetic number, because the mean of its divisors is an integer number (8190895986).

Almost surely, 2^440048004000 is an apocalyptic number.

440048004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440048004000 is an abundant number, since it is smaller than the sum of its proper divisors (1132604025312).

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

440048004000 is a wasteful number, since it uses less digits than its factorization.

440048004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333736 (or 3333718 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 440048004000 its reverse (400840044), we get a palindrome (440448844044).

The spelling of 440048004000 in words is "four hundred forty billion, forty-eight million, four thousand".