4164935250 has 256 divisors, whose sum is σ = 12417859584. Its totient is φ = 909792000.

The previous prime is 4164935239. The next prime is 4164935279. The reversal of 4164935250 is 525394614.

It is a junction number, because it is equal to n+sod(n) for n = 4164935199 and 4164935208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25551669 + ... + 25551831.

It is an arithmetic number, because the mean of its divisors is an integer number (48507264).

Almost surely, 2^4164935250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164935250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208929792).

4164935250 is an abundant number, since it is smaller than the sum of its proper divisors (8252924334).

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

4164935250 is a wasteful number, since it uses less digits than its factorization.

4164935250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 4164935250 is about 64536.3095474168. The cubic root of 4164935250 is about 1608.9260548743.

The spelling of 4164935250 in words is "four billion, one hundred sixty-four million, nine hundred thirty-five thousand, two hundred fifty".