1605801738240 has 1728 divisors, whose sum is σ = 7066536422400. Its totient is φ = 328866988032.

The previous prime is 1605801738239. The next prime is 1605801738269. The reversal of 1605801738240 is 428371085061.

1605801738240 is a `hidden beast` number, since 1 + 6 + 0 + 580 + 17 + 38 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18042716116 + ... + 18042716204.

It is an arithmetic number, because the mean of its divisors is an integer number (4089430800).

Almost surely, 2^{1605801738240} is an apocalyptic number.

1605801738240 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 1605801738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533268211200).

1605801738240 is an abundant number, since it is smaller than the sum of its proper divisors (5460734684160).

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

1605801738240 is an equidigital number, since it uses as much as digits as its factorization.

1605801738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1605801738240 in words is "one trillion, six hundred five billion, eight hundred one million, seven hundred thirty-eight thousand, two hundred forty".