4169628216000 has 2688 divisors, whose sum is σ = 17944688885760. Its totient is φ = 914374656000.

The previous prime is 4169628215999. The next prime is 4169628216097. The reversal of 4169628216000 is 6128269614.

4169628216000 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 628 + 2 + 16 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38968487947 + ... + 38968488053.

It is an arithmetic number, because the mean of its divisors is an integer number (6675851520).

Almost surely, 2^{4169628216000} is an apocalyptic number.

4169628216000 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 4169628216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972344442880).

4169628216000 is an abundant number, since it is smaller than the sum of its proper divisors (13775060669760).

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

4169628216000 is a wasteful number, since it uses less digits than its factorization.

4169628216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4169628216000 in words is "four trillion, one hundred sixty-nine billion, six hundred twenty-eight million, two hundred sixteen thousand".