430124120440 has 128 divisors (see below), whose sum is σ = 1114787007360. Its totient is φ = 146305327104.

The previous prime is 430124120431. The next prime is 430124120449. The reversal of 430124120440 is 44021421034.

It is an interprime number because it is at equal distance from previous prime (430124120431) and next prime (430124120449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430124120449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104068614 + ... + 104072746.

It is an arithmetic number, because the mean of its divisors is an integer number (8709273495).

Almost surely, 2^430124120440 is an apocalyptic number.

430124120440 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 430124120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557393503680).

430124120440 is an abundant number, since it is smaller than the sum of its proper divisors (684662886920).

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

430124120440 is a wasteful number, since it uses less digits than its factorization.

430124120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 430124120440 its reverse (44021421034), we get a palindrome (474145541474).

It can be divided in two parts, 430124 and 120440, that added together give a square (550564 = 742²).

The spelling of 430124120440 in words is "four hundred thirty billion, one hundred twenty-four million, one hundred twenty thousand, four hundred forty".