4195095979968 has 112 divisors (see below), whose sum is σ = 12337907516160. Its totient is φ = 1397786810112.

The previous prime is 4195095979927. The next prime is 4195095979981. The reversal of 4195095979968 is 8699795905914.

4195095979968 is a `hidden beast` number, since 4 + 19 + 5 + 0 + 9 + 597 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×4195095979968² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685971 + ... + 4687917.

Almost surely, 2^{4195095979968} is an apocalyptic number.

4195095979968 is a gapful number since it is divisible by the number (48) 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 4195095979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168953758080).

4195095979968 is an abundant number, since it is smaller than the sum of its proper divisors (8142811536192).

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

4195095979968 is a wasteful number, since it uses less digits than its factorization.

4195095979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004391 (or 1004375 counting only the distinct ones).

The product of its (nonzero) digits is 1984046400, while the sum is 81.

The spelling of 4195095979968 in words is "four trillion, one hundred ninety-five billion, ninety-five million, nine hundred seventy-nine thousand, nine hundred sixty-eight".