424281348480 has 512 divisors, whose sum is σ = 1502970163200. Its totient is φ = 100942110720.

The previous prime is 424281348461. The next prime is 424281348481. The reversal of 424281348480 is 84843182424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424281348481) 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, 621202219 + ... + 621202901.

It is an arithmetic number, because the mean of its divisors is an integer number (2935488600).

Almost surely, 2^424281348480 is an apocalyptic number.

424281348480 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 424281348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751485081600).

424281348480 is an abundant number, since it is smaller than the sum of its proper divisors (1078688814720).

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

424281348480 is a wasteful number, since it uses less digits than its factorization.

424281348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 424281348480 in words is "four hundred twenty-four billion, two hundred eighty-one million, three hundred forty-eight thousand, four hundred eighty".