400211000112004 has 12 divisors (see below), whose sum is σ = 703094422377564. Its totient is φ = 199326879432704.

The previous prime is 400211000111999. The next prime is 400211000112023.

It is a happy number.

400211000112004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 266372756064900 + 133838244047104 = 16320930^2 + 11568848^2 .

It is a super-2 number, since 2×400211000112004² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194655154669 + ... + 194655156724.

It is an arithmetic number, because the mean of its divisors is an integer number (58591201864797).

Almost surely, 2^{400211000112004} is an apocalyptic number.

It is an amenable number.

400211000112004 is a deficient number, since it is larger than the sum of its proper divisors (302883422265560).

400211000112004 is a wasteful number, since it uses less digits than its factorization.

400211000112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389310311654 (or 389310311652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 400211000 and 112004, that added together give a palindrome (400323004).

The spelling of 400211000112004 in words is "four hundred trillion, two hundred eleven billion, one hundred twelve thousand, four".