4193728680960 has 1232 divisors, whose sum is σ = 18565382376576. Its totient is φ = 884759003136.

The previous prime is 4193728680941. The next prime is 4193728680991. The reversal of 4193728680960 is 690868273914.

4193728680960 is a `hidden beast` number, since 4 + 193 + 7 + 286 + 80 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339649507 + ... + 339661853.

Almost surely, 2^{4193728680960} is an apocalyptic number.

4193728680960 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 4193728680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282691188288).

4193728680960 is an abundant number, since it is smaller than the sum of its proper divisors (14371653695616).

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

4193728680960 is a wasteful number, since it uses less digits than its factorization.

4193728680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4193728680960 in words is "four trillion, one hundred ninety-three billion, seven hundred twenty-eight million, six hundred eighty thousand, nine hundred sixty".