400332401251121 has 2 divisors, whose sum is σ = 400332401251122. Its totient is φ = 400332401251120.

The previous prime is 400332401251087. The next prime is 400332401251169. The reversal of 400332401251121 is 121152104233004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379405573328896 + 20926827922225 = 19478336^2 + 4574585^2 .

It is a cyclic number.

It is not a de Polignac number, because 400332401251121 - 2²² = 400332397056817 is a prime.

It is a super-3 number, since 3×400332401251121³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (400332401251421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200166200625560 + 200166200625561.

It is an arithmetic number, because the mean of its divisors is an integer number (200166200625561).

Almost surely, 2^{400332401251121} is an apocalyptic number.

It is an amenable number.

400332401251121 is a deficient number, since it is larger than the sum of its proper divisors (1).

400332401251121 is an equidigital number, since it uses as much as digits as its factorization.

400332401251121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 400332401251121 its reverse (121152104233004), we get a palindrome (521484505484125).

The spelling of 400332401251121 in words is "four hundred trillion, three hundred thirty-two billion, four hundred one million, two hundred fifty-one thousand, one hundred twenty-one".