4248079805760 has 896 divisors, whose sum is σ = 16064179200000. Its totient is φ = 950450651136.

The previous prime is 4248079805741. The next prime is 4248079805791. The reversal of 4248079805760 is 675089708424.

It is a happy number.

It is a super-2 number, since 2×4248079805760² (a number of 26 digits) contains 22 as substring.

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 = 4248079805694 and 4248079805703.

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, 8722956237 + ... + 8722956723.

Almost surely, 2^{4248079805760} is an apocalyptic number.

4248079805760 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 4248079805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032089600000).

4248079805760 is an abundant number, since it is smaller than the sum of its proper divisors (11816099394240).

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

4248079805760 is a wasteful number, since it uses less digits than its factorization.

4248079805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 4248079805760 in words is "four trillion, two hundred forty-eight billion, seventy-nine million, eight hundred five thousand, seven hundred sixty".