4170845952 has 576 divisors, whose sum is σ = 16024960000. Its totient is φ = 1039122432.

The previous prime is 4170845951. The next prime is 4170845957. The reversal of 4170845952 is 2595480714.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 4170845898 and 4170845907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170845951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950674 + ... + 11951022.

Almost surely, 2^4170845952 is an apocalyptic number.

4170845952 is a gapful number since it is divisible by the number (42) 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 4170845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012480000).

4170845952 is an abundant number, since it is smaller than the sum of its proper divisors (11854114048).

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

4170845952 is a wasteful number, since it uses less digits than its factorization.

4170845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4170845952 is about 64582.0869281878. The cubic root of 4170845952 is about 1609.6868019806.

The spelling of 4170845952 in words is "four billion, one hundred seventy million, eight hundred forty-five thousand, nine hundred fifty-two".