14010120341400 has 192 divisors, whose sum is σ = 44002577940480. Its totient is φ = 3687204326400.

The previous prime is 14010120341351. The next prime is 14010120341401. The reversal of 14010120341400 is 414302101041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010120341401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14072892 + ... + 15035508.

It is an arithmetic number, because the mean of its divisors is an integer number (229180093440).

Almost surely, 2^{14010120341400} is an apocalyptic number.

14010120341400 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 14010120341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001288970240).

14010120341400 is an abundant number, since it is smaller than the sum of its proper divisors (29992457599080).

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

14010120341400 is a wasteful number, since it uses less digits than its factorization.

14010120341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962954 (or 962945 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14010120341400 its reverse (414302101041), we get a palindrome (14424422442441).

The spelling of 14010120341400 in words is "fourteen trillion, ten billion, one hundred twenty million, three hundred forty-one thousand, four hundred".