4609260840960 has 768 divisors, whose sum is σ = 17284464288000. Its totient is φ = 1161906094080.

The previous prime is 4609260840923. The next prime is 4609260840967. The reversal of 4609260840960 is 690480629064.

4609260840960 is a `hidden beast` number, since 4 + 609 + 26 + 0 + 8 + 4 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 4609260840897 and 4609260840906.

It is not an unprimeable number, because it can be changed into a prime (4609260840967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3997623744 + ... + 3997624896.

It is an arithmetic number, because the mean of its divisors is an integer number (22505812875).

Almost surely, 2^{4609260840960} is an apocalyptic number.

4609260840960 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 4609260840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642232144000).

4609260840960 is an abundant number, since it is smaller than the sum of its proper divisors (12675203447040).

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

4609260840960 is a wasteful number, since it uses less digits than its factorization.

4609260840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4609260840960 in words is "four trillion, six hundred nine billion, two hundred sixty million, eight hundred forty thousand, nine hundred sixty".