4252413116160 has 2880 divisors, whose sum is σ = 18526744051200. Its totient is φ = 919683072000.

The previous prime is 4252413116111. The next prime is 4252413116173. The reversal of 4252413116160 is 616113142524.

4252413116160 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 4 + 1 + 31 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42103100110 + ... + 42103100210.

It is an arithmetic number, because the mean of its divisors is an integer number (6432897240).

Almost surely, 2^{4252413116160} is an apocalyptic number.

4252413116160 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 4252413116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263372025600).

4252413116160 is an abundant number, since it is smaller than the sum of its proper divisors (14274330935040).

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

4252413116160 is a wasteful number, since it uses less digits than its factorization.

4252413116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 4252413116160 its reverse (616113142524), we get a palindrome (4868526258684).

The spelling of 4252413116160 in words is "four trillion, two hundred fifty-two billion, four hundred thirteen million, one hundred sixteen thousand, one hundred sixty".