400442004020 has 24 divisors (see below), whose sum is σ = 841193869824. Its totient is φ = 160126199456.

The previous prime is 400442003989. The next prime is 400442004029. The reversal of 400442004020 is 20400244004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400442003983 and 400442004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400442004029) 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, 3097712 + ... + 3224391.

It is an arithmetic number, because the mean of its divisors is an integer number (35049744576).

Almost surely, 2^400442004020 is an apocalyptic number.

It is an amenable number.

400442004020 is an abundant number, since it is smaller than the sum of its proper divisors (440751865804).

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

400442004020 is a wasteful number, since it uses less digits than its factorization.

400442004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325279 (or 6325277 counting only the distinct ones).

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

Adding to 400442004020 its reverse (20400244004), we get a palindrome (420842248024).

The spelling of 400442004020 in words is "four hundred billion, four hundred forty-two million, four thousand, twenty".