1414430124440 has 128 divisors (see below), whose sum is σ = 3386301336000. Its totient is φ = 530197291008.

The previous prime is 1414430124439. The next prime is 1414430124533. The reversal of 1414430124440 is 444210344141.

It is a super-2 number, since 2×1414430124440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1414430124397 and 1414430124406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51098444 + ... + 51126116.

Almost surely, 2^{1414430124440} is an apocalyptic number.

1414430124440 is a gapful number since it is divisible by the number (10) 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 1414430124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693150668000).

1414430124440 is an abundant number, since it is smaller than the sum of its proper divisors (1971871211560).

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

1414430124440 is a wasteful number, since it uses less digits than its factorization.

1414430124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429 (or 28425 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1414430124440 its reverse (444210344141), we get a palindrome (1858640468581).

The spelling of 1414430124440 in words is "one trillion, four hundred fourteen billion, four hundred thirty million, one hundred twenty-four thousand, four hundred forty".