4023517171968 has 1728 divisors, whose sum is σ = 15174457159680. Its totient is φ = 998590906368.

The previous prime is 4023517171957. The next prime is 4023517172023. The reversal of 4023517171968 is 8691717153204.

4023517171968 is a `hidden beast` number, since 4 + 0 + 23 + 517 + 17 + 1 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37602964171 + ... + 37602964277.

It is an arithmetic number, because the mean of its divisors is an integer number (8781514560).

It is a 1-persistent number, because it is pandigital, but 2⋅4023517171968 = 8047034343936 is not.

Almost surely, 2^{4023517171968} is an apocalyptic number.

4023517171968 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 4023517171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587228579840).

4023517171968 is an abundant number, since it is smaller than the sum of its proper divisors (11150939987712).

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

4023517171968 is a wasteful number, since it uses less digits than its factorization.

4023517171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 4023517171968 in words is "four trillion, twenty-three billion, five hundred seventeen million, one hundred seventy-one thousand, nine hundred sixty-eight".