400114203121 has 8 divisors (see below), whose sum is σ = 400583186280. Its totient is φ = 399645343488.

The previous prime is 400114203089. The next prime is 400114203157. The reversal of 400114203121 is 121302411004.

It can be written as a sum of positive squares in 4 ways, for example, as 279138928896 + 120975274225 = 528336^2 + 347815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400114203121 - 2⁵ = 400114203089 is a prime.

It is a super-2 number, since 2×400114203121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400114203161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7512975 + ... + 7566043.

It is an arithmetic number, because the mean of its divisors is an integer number (50072898285).

Almost surely, 2^400114203121 is an apocalyptic number.

It is an amenable number.

400114203121 is a deficient number, since it is larger than the sum of its proper divisors (468983159).

400114203121 is an equidigital number, since it uses as much as digits as its factorization.

400114203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61763.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 400114203121 its reverse (121302411004), we get a palindrome (521416614125).

The spelling of 400114203121 in words is "four hundred billion, one hundred fourteen million, two hundred three thousand, one hundred twenty-one".