4172249952 has 192 divisors, whose sum is σ = 13558104000. Its totient is φ = 1239404544.

The previous prime is 4172249951. The next prime is 4172250029. The reversal of 4172249952 is 2599422714.

4172249952 is a `hidden beast` number, since 41 + 72 + 2 + 499 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4172249898 and 4172249907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172249951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319324 + ... + 332132.

It is an arithmetic number, because the mean of its divisors is an integer number (70615125).

Almost surely, 2^4172249952 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 4172249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779052000).

4172249952 is an abundant number, since it is smaller than the sum of its proper divisors (9385854048).

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

4172249952 is a wasteful number, since it uses less digits than its factorization.

4172249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 12856 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4172249952 is about 64592.9559007791. The cubic root of 4172249952 is about 1609.8674005733.

The spelling of 4172249952 in words is "four billion, one hundred seventy-two million, two hundred forty-nine thousand, nine hundred fifty-two".