326448445440 has 384 divisors, whose sum is σ = 1129107470400. Its totient is φ = 80043048960.

The previous prime is 326448445439. The next prime is 326448445447. The reversal of 326448445440 is 44544844623.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 326448445440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326448445447) 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, 112218706 + ... + 112221614.

Almost surely, 2^326448445440 is an apocalyptic number.

326448445440 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 326448445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564553735200).

326448445440 is an abundant number, since it is smaller than the sum of its proper divisors (802659024960).

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

326448445440 is a wasteful number, since it uses less digits than its factorization.

326448445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 48.

The spelling of 326448445440 in words is "three hundred twenty-six billion, four hundred forty-eight million, four hundred forty-five thousand, four hundred forty".