4164239934720 has 432 divisors, whose sum is σ = 15192192375360. Its totient is φ = 1050211713024.

The previous prime is 4164239934689. The next prime is 4164239934721. The reversal of 4164239934720 is 274399324614.

4164239934720 is a `hidden beast` number, since 4 + 1 + 64 + 23 + 9 + 93 + 472 + 0 = 666.

It is a super-2 number, since 2×4164239934720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164239934721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129779799 + ... + 129811881.

It is an arithmetic number, because the mean of its divisors is an integer number (35167111980).

Almost surely, 2^{4164239934720} is an apocalyptic number.

4164239934720 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 4164239934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596096187680).

4164239934720 is an abundant number, since it is smaller than the sum of its proper divisors (11027952440640).

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

4164239934720 is a wasteful number, since it uses less digits than its factorization.

4164239934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32722 (or 32705 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 4164239934720 in words is "four trillion, one hundred sixty-four billion, two hundred thirty-nine million, nine hundred thirty-four thousand, seven hundred twenty".