4164954292800 has 1260 divisors, whose sum is σ = 17888718553200. Its totient is φ = 951636833280.

The previous prime is 4164954292771. The next prime is 4164954292813. The reversal of 4164954292800 is 82924594614.

4164954292800 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 9 + 542 + 92 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×4164954292800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1543145851 + ... + 1543148549.

Almost surely, 2^{4164954292800} is an apocalyptic number.

4164954292800 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 4164954292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944359276600).

4164954292800 is an abundant number, since it is smaller than the sum of its proper divisors (13723764260400).

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

4164954292800 is an frugal number, since it uses more digits than its factorization.

4164954292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4164954292800 in words is "four trillion, one hundred sixty-four billion, nine hundred fifty-four million, two hundred ninety-two thousand, eight hundred".