4171974048 has 288 divisors, whose sum is σ = 13948526592. Its totient is φ = 1169625600.

The previous prime is 4171974047. The next prime is 4171974067. The reversal of 4171974048 is 8404791714.

It is a happy number.

4171974048 is a `hidden beast` number, since 417 + 197 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4171973994 and 4171974012.

It is not an unprimeable number, because it can be changed into a prime (4171974043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257861 + ... + 2259707.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 2^4171974048 is an apocalyptic number.

4171974048 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 4171974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296).

4171974048 is an abundant number, since it is smaller than the sum of its proper divisors (9776552544).

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

4171974048 is a wasteful number, since it uses less digits than its factorization.

4171974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4171974048 is about 64590.8201527121. The cubic root of 4171974048 is about 1609.8319138334.

The spelling of 4171974048 in words is "four billion, one hundred seventy-one million, nine hundred seventy-four thousand, forty-eight".