1325135345440 has 48 divisors (see below), whose sum is σ = 3131322175800. Its totient is φ = 529937326080.

The previous prime is 1325135345263. The next prime is 1325135345447. The reversal of 1325135345440 is 445435315231.

It can be written as a sum of positive squares in 4 ways, for example, as 1313416849936 + 11718495504 = 1146044^2 + 108252^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1325135345393 and 1325135345402.

It is not an unprimeable number, because it can be changed into a prime (1325135345447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182481 + ... + 1638160.

Almost surely, 2^{1325135345440} is an apocalyptic number.

1325135345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325135345440 is an abundant number, since it is smaller than the sum of its proper divisors (1806186830360).

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

1325135345440 is a wasteful number, since it uses less digits than its factorization.

1325135345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825205 (or 1825197 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 1325135345440 in words is "one trillion, three hundred twenty-five billion, one hundred thirty-five million, three hundred forty-five thousand, four hundred forty".