400013433000333 has 12 divisors (see below), whose sum is σ = 596435799742848. Its totient is φ = 258073182580680.

The previous prime is 400013433000329. The next prime is 400013433000397. The reversal of 400013433000333 is 333000334310004.

It is not a de Polignac number, because 400013433000333 - 2² = 400013433000329 is a prime.

It is a super-2 number, since 2×400013433000333² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400013433000297 and 400013433000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400013433000323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716869951335 + ... + 716869951892.

It is an arithmetic number, because the mean of its divisors is an integer number (49702983311904).

Almost surely, 2^{400013433000333} is an apocalyptic number.

It is an amenable number.

400013433000333 is a deficient number, since it is larger than the sum of its proper divisors (196422366742515).

400013433000333 is a wasteful number, since it uses less digits than its factorization.

400013433000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433739903264 (or 1433739903261 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 400013433000333 its reverse (333000334310004), we get a palindrome (733013767310337).

The spelling of 400013433000333 in words is "four hundred trillion, thirteen billion, four hundred thirty-three million, three hundred thirty-three", and thus it is an aban number.