1613341440 has 216 divisors, whose sum is σ = 5825645280. Its totient is φ = 411451392.

The previous prime is 1613341439. The next prime is 1613341469. The reversal of 1613341440 is 441433161.

1613341440 is a `hidden beast` number, since 1 + 613 + 3 + 4 + 1 + 4 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261916 + ... + 268004.

It is an arithmetic number, because the mean of its divisors is an integer number (26970580).

Almost surely, 2^1613341440 is an apocalyptic number.

1613341440 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 1613341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912822640).

1613341440 is an abundant number, since it is smaller than the sum of its proper divisors (4212303840).

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

1613341440 is a wasteful number, since it uses less digits than its factorization.

1613341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1613341440 is about 40166.4217973172. The cubic root of 1613341440 is about 1172.8489851223.

The spelling of 1613341440 in words is "one billion, six hundred thirteen million, three hundred forty-one thousand, four hundred forty".