4205094391680 has 1024 divisors, whose sum is σ = 16903147806720. Its totient is φ = 865507737600.

The previous prime is 4205094391661. The next prime is 4205094391763. The reversal of 4205094391680 is 861934905024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3292947202 + ... + 3292948478.

It is an arithmetic number, because the mean of its divisors is an integer number (16506980280).

Almost surely, 2^{4205094391680} is an apocalyptic number.

4205094391680 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 4205094391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451573903360).

4205094391680 is an abundant number, since it is smaller than the sum of its proper divisors (12698053415040).

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

4205094391680 is a wasteful number, since it uses less digits than its factorization.

4205094391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 4205094391680 in words is "four trillion, two hundred five billion, ninety-four million, three hundred ninety-one thousand, six hundred eighty".