424113540010560 has 672 divisors, whose sum is σ = 1523047720626432. Its totient is φ = 112332877332480.

The previous prime is 424113540010499. The next prime is 424113540010583. The reversal of 424113540010560 is 65010045311424.

424113540010560 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 1 + 3 + 540 + 0 + 105 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9619900837 + ... + 9619944923.

It is an arithmetic number, because the mean of its divisors is an integer number (2266440060456).

Almost surely, 2^{424113540010560} is an apocalyptic number.

424113540010560 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 424113540010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761523860313216).

424113540010560 is an abundant number, since it is smaller than the sum of its proper divisors (1098934180615872).

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

424113540010560 is a wasteful number, since it uses less digits than its factorization.

424113540010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44953 (or 44931 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 424113540010560 its reverse (65010045311424), we get a palindrome (489123585321984).

The spelling of 424113540010560 in words is "four hundred twenty-four trillion, one hundred thirteen billion, five hundred forty million, ten thousand, five hundred sixty".