4172506938 has 128 divisors (see below), whose sum is σ = 9853747200. Its totient is φ = 1306843200.

The previous prime is 4172506937. The next prime is 4172506939. The reversal of 4172506938 is 8396052714.

4172506938 is a `hidden beast` number, since 41 + 72 + 506 + 9 + 38 = 666.

4172506938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4172506937) and next prime (4172506939).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

4172506938 is strictly pandigital in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4172506893 and 4172506902.

It is not an unprimeable number, because it can be changed into a prime (4172506937) 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 63 ways as a sum of consecutive naturals, for example, 11622403 + ... + 11622761.

It is an arithmetic number, because the mean of its divisors is an integer number (76982400).

It is a 1-persistent number, because it is pandigital, but 2⋅4172506938 = 8345013876 is not.

Almost surely, 2^4172506938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172506938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926873600).

4172506938 is an abundant number, since it is smaller than the sum of its proper divisors (5681240262).

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

4172506938 is a wasteful number, since it uses less digits than its factorization.

4172506938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

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

The square root of 4172506938 is about 64594.9451427896. The cubic root of 4172506938 is about 1609.9004526751.

The spelling of 4172506938 in words is "four billion, one hundred seventy-two million, five hundred six thousand, nine hundred thirty-eight".