326109853440 has 2304 divisors, whose sum is σ = 1491930316800. Its totient is φ = 65808433152.

The previous prime is 326109853439. The next prime is 326109853471. The reversal of 326109853440 is 44358901623.

326109853440 is a `hidden beast` number, since 3 + 2 + 6 + 109 + 8 + 534 + 4 + 0 = 666.

326109853440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6938507497 + ... + 6938507543.

It is an arithmetic number, because the mean of its divisors is an integer number (647539200).

Almost surely, 2^326109853440 is an apocalyptic number.

326109853440 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 326109853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745965158400).

326109853440 is an abundant number, since it is smaller than the sum of its proper divisors (1165820463360).

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

326109853440 is a wasteful number, since it uses less digits than its factorization.

326109853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 326109853440 in words is "three hundred twenty-six billion, one hundred nine million, eight hundred fifty-three thousand, four hundred forty".