323415134040 has 256 divisors, whose sum is σ = 1043911411200. Its totient is φ = 79916544000.

The previous prime is 323415134011. The next prime is 323415134057. The reversal of 323415134040 is 40431514323.

It is a super-2 number, since 2×323415134040² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 323415133989 and 323415134007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19104780 + ... + 19121700.

It is an arithmetic number, because the mean of its divisors is an integer number (4077778950).

Almost surely, 2^323415134040 is an apocalyptic number.

323415134040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323415134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521955705600).

323415134040 is an abundant number, since it is smaller than the sum of its proper divisors (720496277160).

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

323415134040 is a wasteful number, since it uses less digits than its factorization.

323415134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17138 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 323415134040 its reverse (40431514323), we get a palindrome (363846648363).

The spelling of 323415134040 in words is "three hundred twenty-three billion, four hundred fifteen million, one hundred thirty-four thousand, forty".