4610717406240 has 192 divisors, whose sum is σ = 15846938174592. Its totient is φ = 1117549568000.

The previous prime is 4610717406221. The next prime is 4610717406263. The reversal of 4610717406240 is 426047170164.

It is a junction number, because it is equal to n+sod(n) for n = 4610717406192 and 4610717406201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30554014 + ... + 30704546.

It is an arithmetic number, because the mean of its divisors is an integer number (82536136326).

Almost surely, 2^{4610717406240} is an apocalyptic number.

4610717406240 is a gapful number since it is divisible by the number (40) 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 4610717406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923469087296).

4610717406240 is an abundant number, since it is smaller than the sum of its proper divisors (11236220768352).

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

4610717406240 is a wasteful number, since it uses less digits than its factorization.

4610717406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156363 (or 156355 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 4610717406240 in words is "four trillion, six hundred ten billion, seven hundred seventeen million, four hundred six thousand, two hundred forty".