424434433120 has 192 divisors, whose sum is σ = 1076367543552. Its totient is φ = 157593600000.

The previous prime is 424434433081. The next prime is 424434433121. The reversal of 424434433120 is 21334434424.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424434433121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74446270 + ... + 74451970.

It is an arithmetic number, because the mean of its divisors is an integer number (5606080956).

Almost surely, 2^424434433120 is an apocalyptic number.

424434433120 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 424434433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538183771776).

424434433120 is an abundant number, since it is smaller than the sum of its proper divisors (651933110432).

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

424434433120 is a wasteful number, since it uses less digits than its factorization.

424434433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 424434433120 its reverse (21334434424), we get a palindrome (445768867544).

The spelling of 424434433120 in words is "four hundred twenty-four billion, four hundred thirty-four million, four hundred thirty-three thousand, one hundred twenty".