4594901608440 has 768 divisors, whose sum is σ = 18675401472000. Its totient is φ = 963149045760.

The previous prime is 4594901608411. The next prime is 4594901608447. The reversal of 4594901608440 is 448061094954.

4594901608440 is a `hidden beast` number, since 4 + 59 + 4 + 90 + 1 + 60 + 8 + 440 = 666.

It is a super-2 number, since 2×4594901608440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4594901608447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87026289 + ... + 87079071.

It is an arithmetic number, because the mean of its divisors is an integer number (24316929000).

Almost surely, 2^{4594901608440} is an apocalyptic number.

4594901608440 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 4594901608440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337700736000).

4594901608440 is an abundant number, since it is smaller than the sum of its proper divisors (14080499863560).

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

4594901608440 is a wasteful number, since it uses less digits than its factorization.

4594901608440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52932 (or 52925 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4594901608440 in words is "four trillion, five hundred ninety-four billion, nine hundred one million, six hundred eight thousand, four hundred forty".