323105541440 has 224 divisors, whose sum is σ = 889743533184. Its totient is φ = 110453391360.

The previous prime is 323105541419. The next prime is 323105541449. The reversal of 323105541440 is 44145501323.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 323105541397 and 323105541406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323105541449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61812107 + ... + 61817333.

Almost surely, 2^323105541440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323105541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444871766592).

323105541440 is an abundant number, since it is smaller than the sum of its proper divisors (566637991744).

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

323105541440 is a wasteful number, since it uses less digits than its factorization.

323105541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 323105541440 in words is "three hundred twenty-three billion, one hundred five million, five hundred forty-one thousand, four hundred forty".