14012004013400 has 384 divisors, whose sum is σ = 36242287488000. Its totient is φ = 5011083264000.

The previous prime is 14012004013351. The next prime is 14012004013457. The reversal of 14012004013400 is 431040021041.

14012004013400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 8247205751 + ... + 8247207449.

It is an arithmetic number, because the mean of its divisors is an integer number (94380957000).

Almost surely, 2^{14012004013400} is an apocalyptic number.

14012004013400 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 14012004013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121143744000).

14012004013400 is an abundant number, since it is smaller than the sum of its proper divisors (22230283474600).

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

14012004013400 is a wasteful number, since it uses less digits than its factorization.

14012004013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14012004013400 its reverse (431040021041), we get a palindrome (14443044034441).

The spelling of 14012004013400 in words is "fourteen trillion, twelve billion, four million, thirteen thousand, four hundred".