323211120023040 has 320 divisors, whose sum is σ = 1088611874380800. Its totient is φ = 81580970409984.

The previous prime is 323211120023039. The next prime is 323211120023119. The reversal of 323211120023040 is 40320021112323.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 323211120023040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163762729 + ... + 165724631.

It is an arithmetic number, because the mean of its divisors is an integer number (3401912107440).

Almost surely, 2^{323211120023040} is an apocalyptic number.

323211120023040 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 323211120023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544305937190400).

323211120023040 is an abundant number, since it is smaller than the sum of its proper divisors (765400754357760).

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

323211120023040 is a wasteful number, since it uses less digits than its factorization.

323211120023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963077 (or 1963061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 323211120023040 its reverse (40320021112323), we get a palindrome (363531141135363).

The spelling of 323211120023040 in words is "three hundred twenty-three trillion, two hundred eleven billion, one hundred twenty million, twenty-three thousand, forty".