4163411717136 has 315 divisors, whose sum is σ = 14074190327631. Its totient is φ = 1189105468992.

The previous prime is 4163411717117. The next prime is 4163411717137. The reversal of 4163411717136 is 6317171143614.

The square root of 4163411717136 is 2040444.

It is a perfect power (a square), and thus also a powerful number.

4163411717136 is a `hidden beast` number, since 4 + 1 + 6 + 341 + 171 + 7 + 136 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4163411717091 and 4163411717100.

It is not an unprimeable number, because it can be changed into a prime (4163411717137) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1542574315 + ... + 1542577013.

Almost surely, 2^{4163411717136} is an apocalyptic number.

4163411717136 is the 2040444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163411717136

4163411717136 is an abundant number, since it is smaller than the sum of its proper divisors (9910778610495).

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

4163411717136 is an frugal number, since it uses more digits than its factorization.

4163411717136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 2711 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 4163411717136 in words is "four trillion, one hundred sixty-three billion, four hundred eleven million, seven hundred seventeen thousand, one hundred thirty-six".