4106920198680 has 192 divisors, whose sum is σ = 14427266555520. Its totient is φ = 1007203507200.

The previous prime is 4106920198679. The next prime is 4106920198699. The reversal of 4106920198680 is 868910296014.

4106920198680 is a `hidden beast` number, since 410 + 69 + 2 + 0 + 1 + 98 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350811 + ... + 2887370.

It is an arithmetic number, because the mean of its divisors is an integer number (75142013310).

Almost surely, 2^{4106920198680} is an apocalyptic number.

4106920198680 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 4106920198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213633277760).

4106920198680 is an abundant number, since it is smaller than the sum of its proper divisors (10320346356840).

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

4106920198680 is a wasteful number, since it uses less digits than its factorization.

4106920198680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238482 (or 3238475 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4106920198680 in words is "four trillion, one hundred six billion, nine hundred twenty million, one hundred ninety-eight thousand, six hundred eighty".