400300021413 has 56 divisors (see below), whose sum is σ = 611110806296. Its totient is φ = 262020096000.

The previous prime is 400300021367. The next prime is 400300021421. The reversal of 400300021413 is 314120003004.

It can be written as a sum of positive squares in 4 ways, for example, as 171679292964 + 228620728449 = 414342^2 + 478143^2 .

It is not a de Polignac number, because 400300021413 - 2¹⁶ = 400299955877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400300021423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25650813 + ... + 25666413.

Almost surely, 2^400300021413 is an apocalyptic number.

It is an amenable number.

400300021413 is a deficient number, since it is larger than the sum of its proper divisors (210810784883).

400300021413 is an equidigital number, since it uses as much as digits as its factorization.

400300021413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16257 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 400300021413 its reverse (314120003004), we get a palindrome (714420024417).

The spelling of 400300021413 in words is "four hundred billion, three hundred million, twenty-one thousand, four hundred thirteen".