4014430341432 has 256 divisors, whose sum is σ = 11825496883200. Its totient is φ = 1111661314560.

The previous prime is 4014430341431. The next prime is 4014430341451. The reversal of 4014430341432 is 2341430344104.

It is a super-2 number, since 2×4014430341432² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014430341393 and 4014430341402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014430341431) 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, 2282222169 + ... + 2282223927.

It is an arithmetic number, because the mean of its divisors is an integer number (46193347200).

Almost surely, 2^{4014430341432} is an apocalyptic number.

4014430341432 is a gapful number since it is divisible by the number (42) 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 4014430341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912748441600).

4014430341432 is an abundant number, since it is smaller than the sum of its proper divisors (7811066541768).

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

4014430341432 is a wasteful number, since it uses less digits than its factorization.

4014430341432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4014430341432 its reverse (2341430344104), we get a palindrome (6355860685536).

The spelling of 4014430341432 in words is "four trillion, fourteen billion, four hundred thirty million, three hundred forty-one thousand, four hundred thirty-two".