4279689210720 has 1152 divisors, whose sum is σ = 18226749413376. Its totient is φ = 823173120000.

The previous prime is 4279689210691. The next prime is 4279689210721. The reversal of 4279689210720 is 270129869724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279689210721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421597645 + ... + 421607795.

It is an arithmetic number, because the mean of its divisors is an integer number (15821831088).

Almost surely, 2^{4279689210720} is an apocalyptic number.

4279689210720 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 4279689210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113374706688).

4279689210720 is an abundant number, since it is smaller than the sum of its proper divisors (13947060202656).

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

4279689210720 is a wasteful number, since it uses less digits than its factorization.

4279689210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 4279689210720 in words is "four trillion, two hundred seventy-nine billion, six hundred eighty-nine million, two hundred ten thousand, seven hundred twenty".