400444400004 has 24 divisors (see below), whose sum is σ = 1019313018528. Its totient is φ = 121346787840.

The previous prime is 400444400003. The next prime is 400444400029. The reversal of 400444400004 is 400004444004.

It is not an unprimeable number, because it can be changed into a prime (400444400003) 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 7 ways as a sum of consecutive naturals, for example, 1516834717 + ... + 1516834980.

It is an arithmetic number, because the mean of its divisors is an integer number (42471375772).

Almost surely, 2^400444400004 is an apocalyptic number.

400444400004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400444400004 is an abundant number, since it is smaller than the sum of its proper divisors (618868618524).

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

400444400004 is a wasteful number, since it uses less digits than its factorization.

400444400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033669715 (or 3033669713 counting only the distinct ones).

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

Adding to 400444400004 its reverse (400004444004), we get a palindrome (800448844008).

The spelling of 400444400004 in words is "four hundred billion, four hundred forty-four million, four hundred thousand, four".