4609193466240 has 640 divisors, whose sum is σ = 17971531776000. Its totient is φ = 1116454440960.

The previous prime is 4609193466223. The next prime is 4609193466271. The reversal of 4609193466240 is 426643919064.

4609193466240 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 1 + 9 + 3 + 4 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 900406401 + ... + 900411519.

It is an arithmetic number, because the mean of its divisors is an integer number (28080518400).

Almost surely, 2^{4609193466240} is an apocalyptic number.

4609193466240 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 4609193466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985765888000).

4609193466240 is an abundant number, since it is smaller than the sum of its proper divisors (13362338309760).

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

4609193466240 is a wasteful number, since it uses less digits than its factorization.

4609193466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4609193466240 in words is "four trillion, six hundred nine billion, one hundred ninety-three million, four hundred sixty-six thousand, two hundred forty".