400111333331 has 8 divisors (see below), whose sum is σ = 400322824128. Its totient is φ = 399899905000.

The previous prime is 400111333327. The next prime is 400111333343. The reversal of 400111333331 is 133333111004.

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 400111333331 - 2² = 400111333327 is a prime.

It is a super-3 number, since 3×400111333331³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400111333297 and 400111333306.

It is not an unprimeable number, because it can be changed into a prime (400111333301) 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, 17621696 + ... + 17644386.

It is an arithmetic number, because the mean of its divisors is an integer number (50040353016).

Almost surely, 2^400111333331 is an apocalyptic number.

400111333331 is a deficient number, since it is larger than the sum of its proper divisors (211490797).

400111333331 is a wasteful number, since it uses less digits than its factorization.

400111333331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31233.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 400111333331 its reverse (133333111004), we get a palindrome (533444444335).

The spelling of 400111333331 in words is "four hundred billion, one hundred eleven million, three hundred thirty-three thousand, three hundred thirty-one".