613416229040 has 160 divisors (see below), whose sum is σ = 1512831297600. Its totient is φ = 230901923840.

The previous prime is 613416229003. The next prime is 613416229093. The reversal of 613416229040 is 40922614316.

It is a junction number, because it is equal to n+sod(n) for n = 613416228985 and 613416229003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122607179 + ... + 122612181.

It is an arithmetic number, because the mean of its divisors is an integer number (9455195610).

Almost surely, 2^613416229040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613416229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756415648800).

613416229040 is an abundant number, since it is smaller than the sum of its proper divisors (899415068560).

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

613416229040 is a wasteful number, since it uses less digits than its factorization.

613416229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 613416229040 in words is "six hundred thirteen billion, four hundred sixteen million, two hundred twenty-nine thousand, forty".