4116169612800 has 3360 divisors, whose sum is σ = 18867388034880. Its totient is φ = 869518540800.

The previous prime is 4116169612783. The next prime is 4116169612813. The reversal of 4116169612800 is 82169616114.

4116169612800 is a `hidden beast` number, since 4 + 1 + 1 + 616 + 9 + 6 + 1 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 77663577574 + ... + 77663577626.

It is an arithmetic number, because the mean of its divisors is an integer number (5615294058).

Almost surely, 2^{4116169612800} is an apocalyptic number.

4116169612800 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 4116169612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433694017440).

4116169612800 is an abundant number, since it is smaller than the sum of its proper divisors (14751218422080).

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

4116169612800 is an equidigital number, since it uses as much as digits as its factorization.

4116169612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 4116169612800 in words is "four trillion, one hundred sixteen billion, one hundred sixty-nine million, six hundred twelve thousand, eight hundred".