400400004440 has 16 divisors (see below), whose sum is σ = 900900010080. Its totient is φ = 160160001760.

The previous prime is 400400004401. The next prime is 400400004469. The reversal of 400400004440 is 44400004004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005000016 + ... + 5005000095.

It is an arithmetic number, because the mean of its divisors is an integer number (56306250630).

Almost surely, 2^400400004440 is an apocalyptic number.

400400004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400400004440 is an abundant number, since it is smaller than the sum of its proper divisors (500500005640).

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

400400004440 is a wasteful number, since it uses less digits than its factorization.

400400004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010000122 (or 10010000118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400400004440 its reverse (44400004004), we get a palindrome (444800008444).

The spelling of 400400004440 in words is "four hundred billion, four hundred million, four thousand, four hundred forty".