4003434144000 has 432 divisors, whose sum is σ = 14649747315840. Its totient is φ = 1049483366400.

The previous prime is 4003434143987. The next prime is 4003434144011. The reversal of 4003434144000 is 4414343004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16874197 + ... + 17109803.

It is an arithmetic number, because the mean of its divisors is an integer number (33911452120).

Almost surely, 2^{4003434144000} is an apocalyptic number.

4003434144000 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 4003434144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7324873657920).

4003434144000 is an abundant number, since it is smaller than the sum of its proper divisors (10646313171840).

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

4003434144000 is a wasteful number, since it uses less digits than its factorization.

4003434144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235703 (or 235676 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4003434144000 its reverse (4414343004), we get a palindrome (4007848487004).

The spelling of 4003434144000 in words is "four trillion, three billion, four hundred thirty-four million, one hundred forty-four thousand".