400444404000 has 96 divisors (see below), whose sum is σ = 1311855906816. Its totient is φ = 106785171200.

The previous prime is 400444403993. The next prime is 400444404001. The reversal of 400444404000 is 404444004.

It is a tau number, because it is divible by the number of its divisors (96).

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 not an unprimeable number, because it can be changed into a prime (400444404001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16673184 + ... + 16697183.

It is an arithmetic number, because the mean of its divisors is an integer number (13665165696).

Almost surely, 2^400444404000 is an apocalyptic number.

400444404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400444404000 is an abundant number, since it is smaller than the sum of its proper divisors (911411502816).

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

400444404000 is a wasteful number, since it uses less digits than its factorization.

400444404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370395 (or 33370377 counting only the distinct ones).

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

Adding to 400444404000 its reverse (404444004), we get a palindrome (400848848004).

The spelling of 400444404000 in words is "four hundred billion, four hundred forty-four million, four hundred four thousand".