4098676816080 has 1920 divisors, whose sum is σ = 18976648273920. Its totient is φ = 789626880000.

The previous prime is 4098676815983. The next prime is 4098676816109. The reversal of 4098676816080 is 806186768904.

4098676816080 is a `hidden beast` number, since 409 + 8 + 6 + 7 + 68 + 160 + 8 + 0 = 666.

4098676816080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4098676816080² (a number of 26 digits) contains 22 as substring.

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 = 4098676815999 and 4098676816017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3412719480 + ... + 3412720680.

It is an arithmetic number, because the mean of its divisors is an integer number (9883670976).

Almost surely, 2^{4098676816080} is an apocalyptic number.

4098676816080 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 4098676816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488324136960).

4098676816080 is an abundant number, since it is smaller than the sum of its proper divisors (14877971457840).

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

4098676816080 is a wasteful number, since it uses less digits than its factorization.

4098676816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4098676816080 in words is "four trillion, ninety-eight billion, six hundred seventy-six million, eight hundred sixteen thousand, eighty".