4161667456128 has 512 divisors, whose sum is σ = 13943757864960. Its totient is φ = 1070371749888.

The previous prime is 4161667456123. The next prime is 4161667456169. The reversal of 4161667456128 is 8216547661614.

It is not an unprimeable number, because it can be changed into a prime (4161667456123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161501825 + ... + 1161505407.

It is an arithmetic number, because the mean of its divisors is an integer number (27233902080).

Almost surely, 2^{4161667456128} is an apocalyptic number.

4161667456128 is a gapful number since it is divisible by the number (48) 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 4161667456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971878932480).

4161667456128 is an abundant number, since it is smaller than the sum of its proper divisors (9782090408832).

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

4161667456128 is a wasteful number, since it uses less digits than its factorization.

4161667456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4424 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 4161667456128 in words is "four trillion, one hundred sixty-one billion, six hundred sixty-seven million, four hundred fifty-six thousand, one hundred twenty-eight".