4321126994688 has 1008 divisors, whose sum is σ = 15750884782080. Its totient is φ = 1154429190144.

The previous prime is 4321126994641. The next prime is 4321126994699. The reversal of 4321126994688 is 8864996211234.

4321126994688 is a `hidden beast` number, since 4 + 321 + 1 + 269 + 9 + 46 + 8 + 8 = 666.

4321126994688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3975277281 + ... + 3975278367.

It is an arithmetic number, because the mean of its divisors is an integer number (15625877760).

Almost surely, 2^{4321126994688} is an apocalyptic number.

4321126994688 is a gapful number since it is divisible by the number (48) 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 4321126994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875442391040).

4321126994688 is an abundant number, since it is smaller than the sum of its proper divisors (11429757787392).

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

4321126994688 is a wasteful number, since it uses less digits than its factorization.

4321126994688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1295 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 4321126994688 in words is "four trillion, three hundred twenty-one billion, one hundred twenty-six million, nine hundred ninety-four thousand, six hundred eighty-eight".