1000033400223 has 48 divisors (see below), whose sum is σ = 1697199888384. Its totient is φ = 559402044480.

The previous prime is 1000033400209. The next prime is 1000033400231. The reversal of 1000033400223 is 3220043300001.

1000033400223 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 33 + 400 + 223 = 666.

It is not a de Polignac number, because 1000033400223 - 2²⁵ = 999999845791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000033400196 and 1000033400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000033400273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14667390 + ... + 14735412.

It is an arithmetic number, because the mean of its divisors is an integer number (35358331008).

Almost surely, 2^{1000033400223} is an apocalyptic number.

1000033400223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000033400223 is a deficient number, since it is larger than the sum of its proper divisors (697166488161).

1000033400223 is a wasteful number, since it uses less digits than its factorization.

1000033400223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79476 (or 79473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1000033400223 its reverse (3220043300001), we get a palindrome (4220076700224).

The spelling of 1000033400223 in words is "one trillion, thirty-three million, four hundred thousand, two hundred twenty-three".