14042410000 has 100 divisors (see below), whose sum is σ = 34198812252. Its totient is φ = 5583808000.

The previous prime is 14042409973. The next prime is 14042410027. The reversal of 14042410000 is 1424041.

It is an interprime number because it is at equal distance from previous prime (14042409973) and next prime (14042410027).

It can be written as a sum of positive squares in 10 ways, for example, as 4378733584 + 9663676416 = 66172^2 + 98304^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1725942 + ... + 1734058.

Almost surely, 2^14042410000 is an apocalyptic number.

14042410000 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 14042410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099406126).

14042410000 is an abundant number, since it is smaller than the sum of its proper divisors (20156402252).

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

14042410000 is an equidigital number, since it uses as much as digits as its factorization.

14042410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14042410000 its reverse (1424041), we get a palindrome (14043834041).

The spelling of 14042410000 in words is "fourteen billion, forty-two million, four hundred ten thousand".