14012010120400 has 120 divisors (see below), whose sum is σ = 34567243804800. Its totient is φ = 5455048473600.

The previous prime is 14012010120379. The next prime is 14012010120413. The reversal of 14012010120400 is 402101021041.

It is a happy number.

14012010120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14012010120400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5852041 + ... + 7891159.

It is an arithmetic number, because the mean of its divisors is an integer number (288060365040).

Almost surely, 2^{14012010120400} is an apocalyptic number.

14012010120400 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 14012010120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283621902400).

14012010120400 is an abundant number, since it is smaller than the sum of its proper divisors (20555233684400).

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

14012010120400 is a wasteful number, since it uses less digits than its factorization.

14012010120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039597 (or 2039586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14012010120400 its reverse (402101021041), we get a palindrome (14414111141441).

The spelling of 14012010120400 in words is "fourteen trillion, twelve billion, ten million, one hundred twenty thousand, four hundred".