424480117248 has 640 divisors, whose sum is σ = 1442479104000. Its totient is φ = 122060390400.

The previous prime is 424480117241. The next prime is 424480117273. The reversal of 424480117248 is 842711084424.

It is not an unprimeable number, because it can be changed into a prime (424480117241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249840303 + ... + 249842001.

It is an arithmetic number, because the mean of its divisors is an integer number (2253873600).

Almost surely, 2^424480117248 is an apocalyptic number.

424480117248 is a gapful number since it is divisible by the number (48) 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 424480117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721239552000).

424480117248 is an abundant number, since it is smaller than the sum of its proper divisors (1017998986752).

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

424480117248 is a wasteful number, since it uses less digits than its factorization.

424480117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 424480117248 in words is "four hundred twenty-four billion, four hundred eighty million, one hundred seventeen thousand, two hundred forty-eight".