4366954166400 has 1440 divisors, whose sum is σ = 18859589002800. Its totient is φ = 997734205440.

The previous prime is 4366954166381. The next prime is 4366954166401. The reversal of 4366954166400 is 46614596634.

4366954166400 is a `hidden beast` number, since 4 + 36 + 6 + 9 + 541 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (4366954166401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1867016431 + ... + 1867018769.

Almost surely, 2^{4366954166400} is an apocalyptic number.

4366954166400 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 4366954166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429794501400).

4366954166400 is an abundant number, since it is smaller than the sum of its proper divisors (14492634836400).

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

4366954166400 is an frugal number, since it uses more digits than its factorization.

4366954166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

It can be divided in two parts, 4366954 and 166400, that added together give a palindrome (4533354).

The spelling of 4366954166400 in words is "four trillion, three hundred sixty-six billion, nine hundred fifty-four million, one hundred sixty-six thousand, four hundred".