1609641819240 has 512 divisors, whose sum is σ = 6103502254080. Its totient is φ = 330519232512.

The previous prime is 1609641819221. The next prime is 1609641819241. The reversal of 1609641819240 is 429181469061.

It is not an unprimeable number, because it can be changed into a prime (1609641819241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132879424 + ... + 132891536.

It is an arithmetic number, because the mean of its divisors is an integer number (11920902840).

Almost surely, 2^{1609641819240} is an apocalyptic number.

1609641819240 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 1609641819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051751127040).

1609641819240 is an abundant number, since it is smaller than the sum of its proper divisors (4493860434840).

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

1609641819240 is a wasteful number, since it uses less digits than its factorization.

1609641819240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1609641819240 in words is "one trillion, six hundred nine billion, six hundred forty-one million, eight hundred nineteen thousand, two hundred forty".