333404004040 has 64 divisors (see below), whose sum is σ = 789935328000. Its totient is φ = 126295488000.

The previous prime is 333404003987. The next prime is 333404004041. The reversal of 333404004040 is 40400404333.

It is a happy number.

It is a super-2 number, since 2×333404004040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333404003996 and 333404004014.

It is not an unprimeable number, because it can be changed into a prime (333404004041) 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 15 ways as a sum of consecutive naturals, for example, 1993665 + ... + 2154415.

It is an arithmetic number, because the mean of its divisors is an integer number (12342739500).

Almost surely, 2^333404004040 is an apocalyptic number.

It is an amenable number.

333404004040 is an abundant number, since it is smaller than the sum of its proper divisors (456531323960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333404004040 is a wasteful number, since it uses less digits than its factorization.

333404004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163510 (or 163506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 333404004040 its reverse (40400404333), we get a palindrome (373804408373).

The spelling of 333404004040 in words is "three hundred thirty-three billion, four hundred four million, four thousand, forty".