4809408675456 has 768 divisors, whose sum is σ = 16653230899200. Its totient is φ = 1202353152000.

The previous prime is 4809408675451. The next prime is 4809408675457. The reversal of 4809408675456 is 6545768049084.

It is a super-3 number, since 3×4809408675456³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (4809408675451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4178460481 + ... + 4178461631.

It is an arithmetic number, because the mean of its divisors is an integer number (21683894400).

Almost surely, 2^{4809408675456} 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 4809408675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326615449600).

4809408675456 is an abundant number, since it is smaller than the sum of its proper divisors (11843822223744).

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

4809408675456 is a wasteful number, since it uses less digits than its factorization.

4809408675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 4809408675456 in words is "four trillion, eight hundred nine billion, four hundred eight million, six hundred seventy-five thousand, four hundred fifty-six".