4195627974216 has 192 divisors, whose sum is σ = 13185580636800. Its totient is φ = 1180385547264.

The previous prime is 4195627974193. The next prime is 4195627974227. The reversal of 4195627974216 is 6124797265914.

4195627974216 is a `hidden beast` number, since 4 + 19 + 562 + 7 + 9 + 7 + 42 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88887550 + ... + 88934738.

It is an arithmetic number, because the mean of its divisors is an integer number (68674899150).

Almost surely, 2^{4195627974216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4195627974216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592790318400).

4195627974216 is an abundant number, since it is smaller than the sum of its proper divisors (8989952662584).

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

4195627974216 is a wasteful number, since it uses less digits than its factorization.

4195627974216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49908 (or 49901 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 4195627974216 in words is "four trillion, one hundred ninety-five billion, six hundred twenty-seven million, nine hundred seventy-four thousand, two hundred sixteen".