4014440430000 has 1600 divisors, whose sum is σ = 17874904599552. Its totient is φ = 748984320000.

The previous prime is 4014440429977. The next prime is 4014440430001. The reversal of 4014440430000 is 340444104.

It is a super-2 number, since 2×4014440430000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4014440430001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1111108194 + ... + 1111111806.

Almost surely, 2^{4014440430000} is an apocalyptic number.

4014440430000 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 4014440430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8937452299776).

4014440430000 is an abundant number, since it is smaller than the sum of its proper divisors (13860464169552).

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

4014440430000 is a wasteful number, since it uses less digits than its factorization.

4014440430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3691 counting only the distinct ones).

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

Adding to 4014440430000 its reverse (340444104), we get a palindrome (4014780874104).

The spelling of 4014440430000 in words is "four trillion, fourteen billion, four hundred forty million, four hundred thirty thousand".