1605416441340 has 192 divisors, whose sum is σ = 4668668928000. Its totient is φ = 411764290560.

The previous prime is 1605416441243. The next prime is 1605416441351. The reversal of 1605416441340 is 431446145061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219645606 + ... + 219652914.

It is an arithmetic number, because the mean of its divisors is an integer number (24315984000).

Almost surely, 2^{1605416441340} is an apocalyptic number.

1605416441340 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 1605416441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334334464000).

1605416441340 is an abundant number, since it is smaller than the sum of its proper divisors (3063252486660).

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

1605416441340 is a wasteful number, since it uses less digits than its factorization.

1605416441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1605416441340 in words is "one trillion, six hundred five billion, four hundred sixteen million, four hundred forty-one thousand, three hundred forty".