4166467938360 has 1152 divisors, whose sum is σ = 17363176796160. Its totient is φ = 847521792000.

The previous prime is 4166467938343. The next prime is 4166467938379. The reversal of 4166467938360 is 638397646614.

4166467938360 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 467 + 93 + 83 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 287 ways as a sum of consecutive naturals, for example, 5294113887 + ... + 5294114673.

It is an arithmetic number, because the mean of its divisors is an integer number (15072202080).

Almost surely, 2^{4166467938360} is an apocalyptic number.

4166467938360 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 4166467938360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681588398080).

4166467938360 is an abundant number, since it is smaller than the sum of its proper divisors (13196708857800).

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

4166467938360 is a wasteful number, since it uses less digits than its factorization.

4166467938360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 4166467938360 in words is "four trillion, one hundred sixty-six billion, four hundred sixty-seven million, nine hundred thirty-eight thousand, three hundred sixty".