4338168363984 has 640 divisors, whose sum is σ = 15602961346560. Its totient is φ = 1004907036672.

The previous prime is 4338168363973. The next prime is 4338168364027. The reversal of 4338168363984 is 4893638618334.

It is a congruent number.

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, 94504942 + ... + 94550834.

It is an arithmetic number, because the mean of its divisors is an integer number (24379627104).

Almost surely, 2^{4338168363984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338168363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801480673280).

4338168363984 is an abundant number, since it is smaller than the sum of its proper divisors (11264792982576).

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

4338168363984 is a wasteful number, since it uses less digits than its factorization.

4338168363984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46027 (or 46021 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 66.

The spelling of 4338168363984 in words is "four trillion, three hundred thirty-eight billion, one hundred sixty-eight million, three hundred sixty-three thousand, nine hundred eighty-four".