14010130400 has 144 divisors (see below), whose sum is σ = 39218052384. Its totient is φ = 4787527680.

The previous prime is 14010130373. The next prime is 14010130403. The reversal of 14010130400 is 403101041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010130403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1748804 + ... + 1756796.

It is an arithmetic number, because the mean of its divisors is an integer number (272347586).

Almost surely, 2^14010130400 is an apocalyptic number.

14010130400 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 14010130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609026192).

14010130400 is an abundant number, since it is smaller than the sum of its proper divisors (25207921984).

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

14010130400 is a wasteful number, since it uses less digits than its factorization.

14010130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 14010130400 its reverse (403101041), we get a palindrome (14413231441).

The spelling of 14010130400 in words is "fourteen billion, ten million, one hundred thirty thousand, four hundred".