14002401035000 has 320 divisors, whose sum is σ = 40473814233600. Its totient is φ = 4433736384000.

The previous prime is 14002401034997. The next prime is 14002401035017. The reversal of 14002401035000 is 53010420041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23045099 + ... + 23644901.

It is an arithmetic number, because the mean of its divisors is an integer number (126480669480).

Almost surely, 2^{14002401035000} is an apocalyptic number.

14002401035000 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 14002401035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236907116800).

14002401035000 is an abundant number, since it is smaller than the sum of its proper divisors (26471413198600).

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

14002401035000 is a wasteful number, since it uses less digits than its factorization.

14002401035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599888 (or 599869 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14002401035000 its reverse (53010420041), we get a palindrome (14055411455041).

The spelling of 14002401035000 in words is "fourteen trillion, two billion, four hundred one million, thirty-five thousand".