1328125440 has 80 divisors (see below), whose sum is σ = 4245875568. Its totient is φ = 354164736.

The previous prime is 1328125417. The next prime is 1328125451. The reversal of 1328125440 is 445218231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1328125398 and 1328125407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78787 + ... + 94146.

Almost surely, 2^1328125440 is an apocalyptic number.

1328125440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328125440 is an abundant number, since it is smaller than the sum of its proper divisors (2917750128).

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

1328125440 is an equidigital number, since it uses as much as digits as its factorization.

1328125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172959 (or 172943 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1328125440 is about 36443.4553795328. The cubic root of 1328125440 is about 1099.2075394265.

The spelling of 1328125440 in words is "one billion, three hundred twenty-eight million, one hundred twenty-five thousand, four hundred forty".