4168874846400 has 672 divisors, whose sum is σ = 15868375192320. Its totient is φ = 947552256000.

The previous prime is 4168874846387. The next prime is 4168874846449. The reversal of 4168874846400 is 46484788614.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 97288980 + ... + 97331820.

It is an arithmetic number, because the mean of its divisors is an integer number (23613653560).

Almost surely, 2^{4168874846400} is an apocalyptic number.

4168874846400 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 4168874846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934187596160).

4168874846400 is an abundant number, since it is smaller than the sum of its proper divisors (11699500345920).

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

4168874846400 is a wasteful number, since it uses less digits than its factorization.

4168874846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42978 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 4168874846400 in words is "four trillion, one hundred sixty-eight billion, eight hundred seventy-four million, eight hundred forty-six thousand, four hundred".