424747747424 has 288 divisors, whose sum is σ = 1146671914752. Its totient is φ = 152240256000.

The previous prime is 424747747397. The next prime is 424747747439.

424747747424 is nontrivially palindromic in base 10.

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 424747747424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69730619 + ... + 69736709.

It is an arithmetic number, because the mean of its divisors is an integer number (3981499704).

Almost surely, 2^424747747424 is an apocalyptic number.

424747747424 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 424747747424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573335957376).

424747747424 is an abundant number, since it is smaller than the sum of its proper divisors (721924167328).

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

424747747424 is a wasteful number, since it uses less digits than its factorization.

424747747424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6435 counting only the distinct ones).

The product of its digits is 39337984, while the sum is 56.

The spelling of 424747747424 in words is "four hundred twenty-four billion, seven hundred forty-seven million, seven hundred forty-seven thousand, four hundred twenty-four".