1604806525440 has 480 divisors, whose sum is σ = 5771110625280. Its totient is φ = 427401805824.

The previous prime is 1604806525397. The next prime is 1604806525453. The reversal of 1604806525440 is 445256084061.

It is a happy number.

1604806525440 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 80 + 6 + 525 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795639312 + ... + 795641328.

It is an arithmetic number, because the mean of its divisors is an integer number (12023147136).

Almost surely, 2^{1604806525440} is an apocalyptic number.

1604806525440 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 1604806525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885555312640).

1604806525440 is an abundant number, since it is smaller than the sum of its proper divisors (4166304099840).

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

1604806525440 is an equidigital number, since it uses as much as digits as its factorization.

1604806525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1604806525440 in words is "one trillion, six hundred four billion, eight hundred six million, five hundred twenty-five thousand, four hundred forty".