413003313323400 has 96 divisors (see below), whose sum is σ = 1280530531604160. Its totient is φ = 110115269763840.

The previous prime is 413003313323323. The next prime is 413003313323407. The reversal of 413003313323400 is 4323313300314.

It is a super-2 number, since 2×413003313323400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (413003313323407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55719052 + ... + 62694651.

It is an arithmetic number, because the mean of its divisors is an integer number (13338859704210).

Almost surely, 2^{413003313323400} is an apocalyptic number.

413003313323400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413003313323400 is an abundant number, since it is smaller than the sum of its proper divisors (867527218280760).

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

413003313323400 is a wasteful number, since it uses less digits than its factorization.

413003313323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118419535 (or 118419526 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 413003313323400 its reverse (4323313300314), we get a palindrome (417326626623714).

The spelling of 413003313323400 in words is "four hundred thirteen trillion, three billion, three hundred thirteen million, three hundred twenty-three thousand, four hundred".