14201400400000 has 576 divisors, whose sum is σ = 39216171254400. Its totient is φ = 5079993600000.

The previous prime is 14201400399973. The next prime is 14201400400079. The reversal of 14201400400000 is 400410241.

It is a super-2 number, since 2×14201400400000² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19751599641 + ... + 19751600359.

It is an arithmetic number, because the mean of its divisors is an integer number (68083630650).

Almost surely, 2^{14201400400000} is an apocalyptic number.

14201400400000 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 14201400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608085627200).

14201400400000 is an abundant number, since it is smaller than the sum of its proper divisors (25014770854400).

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

14201400400000 is an frugal number, since it uses more digits than its factorization.

14201400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14201400400000 its reverse (400410241), we get a palindrome (14201800810241).

The spelling of 14201400400000 in words is "fourteen trillion, two hundred one billion, four hundred million, four hundred thousand".