4205893760640 has 768 divisors, whose sum is σ = 17078000808960. Its totient is φ = 940326912000.

The previous prime is 4205893760569. The next prime is 4205893760641. The reversal of 4205893760640 is 460673985024.

4205893760640 is a `hidden beast` number, since 4 + 20 + 5 + 8 + 9 + 3 + 7 + 606 + 4 + 0 = 666.

It is a super-3 number, since 3×4205893760640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4205893760641) 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, 1501567240 + ... + 1501570040.

It is an arithmetic number, because the mean of its divisors is an integer number (22236980220).

Almost surely, 2^{4205893760640} is an apocalyptic number.

4205893760640 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 4205893760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539000404480).

4205893760640 is an abundant number, since it is smaller than the sum of its proper divisors (12872107048320).

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

4205893760640 is a wasteful number, since it uses less digits than its factorization.

4205893760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4205893760640 in words is "four trillion, two hundred five billion, eight hundred ninety-three million, seven hundred sixty thousand, six hundred forty".