4124253063744 has 336 divisors, whose sum is σ = 13376699078400. Its totient is φ = 1245110676480.

The previous prime is 4124253063719. The next prime is 4124253063751. The reversal of 4124253063744 is 4473603524214.

4124253063744 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 2 + 5 + 3 + 0 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4124253063744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56208009 + ... + 56281335.

It is an arithmetic number, because the mean of its divisors is an integer number (39811604400).

Almost surely, 2^{4124253063744} is an apocalyptic number.

4124253063744 is a gapful number since it is divisible by the number (44) 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 4124253063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688349539200).

4124253063744 is an abundant number, since it is smaller than the sum of its proper divisors (9252446014656).

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

4124253063744 is a wasteful number, since it uses less digits than its factorization.

4124253063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73639 (or 73612 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 4124253063744 its reverse (4473603524214), we get a palindrome (8597856587958).

The spelling of 4124253063744 in words is "four trillion, one hundred twenty-four billion, two hundred fifty-three million, sixty-three thousand, seven hundred forty-four".