4334169744960 has 224 divisors, whose sum is σ = 15023957760000. Its totient is φ = 1049870039040.

The previous prime is 4334169744917. The next prime is 4334169745121. The reversal of 4334169744960 is 694479614334.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4334169744894 and 4334169744903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13132041 + ... + 13458039.

It is an arithmetic number, because the mean of its divisors is an integer number (67071240000).

Almost surely, 2^{4334169744960} is an apocalyptic number.

4334169744960 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 4334169744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511978880000).

4334169744960 is an abundant number, since it is smaller than the sum of its proper divisors (10689788015040).

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

4334169744960 is a wasteful number, since it uses less digits than its factorization.

4334169744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327289 (or 327279 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 60.

The spelling of 4334169744960 in words is "four trillion, three hundred thirty-four billion, one hundred sixty-nine million, seven hundred forty-four thousand, nine hundred sixty".