4188466164960 has 1536 divisors, whose sum is σ = 18536212316160. Its totient is φ = 858088857600.

The previous prime is 4188466164959. The next prime is 4188466165003. The reversal of 4188466164960 is 694616648814.

4188466164960 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 4 + 6 + 616 + 4 + 9 + 6 + 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 255 ways as a sum of consecutive naturals, for example, 12070507507 + ... + 12070507853.

It is an arithmetic number, because the mean of its divisors is an integer number (12067846560).

Almost surely, 2^{4188466164960} is an apocalyptic number.

4188466164960 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 4188466164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268106158080).

4188466164960 is an abundant number, since it is smaller than the sum of its proper divisors (14347746151200).

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

4188466164960 is a wasteful number, since it uses less digits than its factorization.

4188466164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 4188466164960 in words is "four trillion, one hundred eighty-eight billion, four hundred sixty-six million, one hundred sixty-four thousand, nine hundred sixty".