4174194960 has 480 divisors, whose sum is σ = 16439885280. Its totient is φ = 939589632.

The previous prime is 4174194863. The next prime is 4174194967. The reversal of 4174194960 is 694914714.

It can be written as a sum of positive squares in 16 ways, for example, as 922458384 + 3251736576 = 30372^2 + 57024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4174194967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887086 + ... + 5887794.

It is an arithmetic number, because the mean of its divisors is an integer number (34249761).

Almost surely, 2^4174194960 is an apocalyptic number.

4174194960 is a gapful number since it is divisible by the number (40) 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 4174194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219942640).

4174194960 is an abundant number, since it is smaller than the sum of its proper divisors (12265690320).

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

4174194960 is a wasteful number, since it uses less digits than its factorization.

4174194960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4174194960 is about 64608.0100297169. The cubic root of 4174194960 is about 1610.1175228950.

The spelling of 4174194960 in words is "four billion, one hundred seventy-four million, one hundred ninety-four thousand, nine hundred sixty".