400445100121 has 32 divisors (see below), whose sum is σ = 467719262208. Its totient is φ = 339185024640.

The previous prime is 400445100079. The next prime is 400445100149. The reversal of 400445100121 is 121001544004.

It is not a de Polignac number, because 400445100121 - 2⁷ = 400445099993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400445100092 and 400445100101.

It is not an unprimeable number, because it can be changed into a prime (400445100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3942445 + ... + 4042741.

It is an arithmetic number, because the mean of its divisors is an integer number (14616226944).

Almost surely, 2^400445100121 is an apocalyptic number.

It is an amenable number.

400445100121 is a deficient number, since it is larger than the sum of its proper divisors (67274162087).

400445100121 is a wasteful number, since it uses less digits than its factorization.

400445100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100741.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 400445100121 its reverse (121001544004), we get a palindrome (521446644125).

The spelling of 400445100121 in words is "four hundred billion, four hundred forty-five million, one hundred thousand, one hundred twenty-one".