400011045213121 has 2 divisors, whose sum is σ = 400011045213122. Its totient is φ = 400011045213120.

The previous prime is 400011045212963. The next prime is 400011045213127. The reversal of 400011045213121 is 121312540110004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261015528200625 + 138995517012496 = 16155975^2 + 11789636^2 .

It is a cyclic number.

It is not a de Polignac number, because 400011045213121 - 2¹⁷ = 400011045082049 is a prime.

It is not a weakly prime, because it can be changed into another prime (400011045213127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200005522606560 + 200005522606561.

It is an arithmetic number, because the mean of its divisors is an integer number (200005522606561).

Almost surely, 2^{400011045213121} is an apocalyptic number.

It is an amenable number.

400011045213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

400011045213121 is an equidigital number, since it uses as much as digits as its factorization.

400011045213121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 400011045213121 its reverse (121312540110004), we get a palindrome (521323585323125).

The spelling of 400011045213121 in words is "four hundred trillion, eleven billion, forty-five million, two hundred thirteen thousand, one hundred twenty-one".