424012300440 has 256 divisors, whose sum is σ = 1303829913600. Its totient is φ = 110278694400.

The previous prime is 424012300417. The next prime is 424012300447. The reversal of 424012300440 is 44003210424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424012300440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424012300447) 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, 863568595 + ... + 863569085.

It is an arithmetic number, because the mean of its divisors is an integer number (5093085600).

Almost surely, 2^424012300440 is an apocalyptic number.

424012300440 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 424012300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651914956800).

424012300440 is an abundant number, since it is smaller than the sum of its proper divisors (879817613160).

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

424012300440 is a wasteful number, since it uses less digits than its factorization.

424012300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 424012300440 its reverse (44003210424), we get a palindrome (468015510864).

The spelling of 424012300440 in words is "four hundred twenty-four billion, twelve million, three hundred thousand, four hundred forty".