400441003400 has 48 divisors (see below), whose sum is σ = 934648119540. Its totient is φ = 159553126400.

The previous prime is 400441003367. The next prime is 400441003411. The reversal of 400441003400 is 4300144004.

It can be written as a sum of positive squares in 6 ways, for example, as 202303847524 + 198137155876 = 449782^2 + 445126^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3843941 + ... + 3946740.

Almost surely, 2^400441003400 is an apocalyptic number.

400441003400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400441003400 is an abundant number, since it is smaller than the sum of its proper divisors (534207116140).

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

400441003400 is a wasteful number, since it uses less digits than its factorization.

400441003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790954 (or 7790945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 400441003400 its reverse (4300144004), we get a palindrome (404741147404).

The spelling of 400441003400 in words is "four hundred billion, four hundred forty-one million, three thousand, four hundred".