14001411000 has 256 divisors, whose sum is σ = 45961344000. Its totient is φ = 3541824000.

The previous prime is 14001410993. The next prime is 14001411007. The reversal of 14001411000 is 11410041.

It is an interprime number because it is at equal distance from previous prime (14001410993) and next prime (14001411007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001411007) 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, 9038226 + ... + 9039774.

It is an arithmetic number, because the mean of its divisors is an integer number (179536500).

Almost surely, 2^14001411000 is an apocalyptic number.

14001411000 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 14001411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

14001411000 is an abundant number, since it is smaller than the sum of its proper divisors (31959933000).

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

14001411000 is a wasteful number, since it uses less digits than its factorization.

14001411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14001411000 its reverse (11410041), we get a palindrome (14012821041).

The spelling of 14001411000 in words is "fourteen billion, one million, four hundred eleven thousand".