4248685424880 has 640 divisors, whose sum is σ = 15981289632000. Its totient is φ = 1044085137408.

The previous prime is 4248685424861. The next prime is 4248685424903. The reversal of 4248685424880 is 884245868424.

4248685424880 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 6 + 8 + 542 + 4 + 8 + 80 = 666.

It is a super-2 number, since 2×4248685424880² (a number of 26 digits) contains 22 as substring.

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, 1840053166 + ... + 1840055474.

It is an arithmetic number, because the mean of its divisors is an integer number (24970765050).

Almost surely, 2^{4248685424880} is an apocalyptic number.

4248685424880 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 4248685424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990644816000).

4248685424880 is an abundant number, since it is smaller than the sum of its proper divisors (11732604207120).

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

4248685424880 is a wasteful number, since it uses less digits than its factorization.

4248685424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 125829120, while the sum is 63.

The spelling of 4248685424880 in words is "four trillion, two hundred forty-eight billion, six hundred eighty-five million, four hundred twenty-four thousand, eight hundred eighty".