1325405340 has 288 divisors, whose sum is σ = 4981616640. Its totient is φ = 278304768.

The previous prime is 1325405303. The next prime is 1325405371. The reversal of 1325405340 is 435045231.

1325405340 is a `hidden beast` number, since 1 + 32 + 540 + 53 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920341 + ... + 921779.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^1325405340 is an apocalyptic number.

1325405340 is a gapful number since it is divisible by the number (10) 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 1325405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

1325405340 is an abundant number, since it is smaller than the sum of its proper divisors (3656211300).

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

1325405340 is a wasteful number, since it uses less digits than its factorization.

1325405340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1325405340 is about 36406.1167937477. The cubic root of 1325405340 is about 1098.4566068514.

The spelling of 1325405340 in words is "one billion, three hundred twenty-five million, four hundred five thousand, three hundred forty".