4241874781424 has 80 divisors (see below), whose sum is σ = 9553917676800. Its totient is φ = 1786760197632.

The previous prime is 4241874781409. The next prime is 4241874781471.

4241874781424 is nontrivially palindromic in base 10.

4241874781424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4241874781424² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4241874781424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32770559 + ... + 32899745.

It is an arithmetic number, because the mean of its divisors is an integer number (119423970960).

Almost surely, 2^{4241874781424} 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 4241874781424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776958838400).

4241874781424 is an abundant number, since it is smaller than the sum of its proper divisors (5312042895376).

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

4241874781424 is a wasteful number, since it uses less digits than its factorization.

4241874781424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134230 (or 134224 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 4241874781424 in words is "four trillion, two hundred forty-one billion, eight hundred seventy-four million, seven hundred eighty-one thousand, four hundred twenty-four".