328137325440 has 128 divisors (see below), whose sum is σ = 1046102860800. Its totient is φ = 87489472512.

The previous prime is 328137325427. The next prime is 328137325447. The reversal of 328137325440 is 44523731823.

328137325440 is digitally balanced in base 7, 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 328137325392 and 328137325401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328137325447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19496869 + ... + 19513691.

It is an arithmetic number, because the mean of its divisors is an integer number (8172678600).

Almost surely, 2^328137325440 is an apocalyptic number.

328137325440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328137325440 is an abundant number, since it is smaller than the sum of its proper divisors (717965535360).

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

328137325440 is a wasteful number, since it uses less digits than its factorization.

328137325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27004 (or 26992 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 328137325440 in words is "three hundred twenty-eight billion, one hundred thirty-seven million, three hundred twenty-five thousand, four hundred forty".