4909191598080 has 2496 divisors, whose sum is σ = 22998855979008. Its totient is φ = 973988167680.

The previous prime is 4909191598067. The next prime is 4909191598109. The reversal of 4909191598080 is 808951919094.

4909191598080 is a `hidden beast` number, since 490 + 9 + 1 + 91 + 59 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4909191597999 and 4909191598017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8813629162 + ... + 8813629718.

It is an arithmetic number, because the mean of its divisors is an integer number (9214285248).

Almost surely, 2^{4909191598080} is an apocalyptic number.

4909191598080 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 4909191598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499427989504).

4909191598080 is an abundant number, since it is smaller than the sum of its proper divisors (18089664380928).

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

4909191598080 is a wasteful number, since it uses less digits than its factorization.

4909191598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 4909191598080 in words is "four trillion, nine hundred nine billion, one hundred ninety-one million, five hundred ninety-eight thousand, eighty".