14021013420200 has 96 divisors (see below), whose sum is σ = 32951170409760. Its totient is φ = 5547944006400.

The previous prime is 14021013420199. The next prime is 14021013420229. The reversal of 14021013420200 is 202431012041.

It is a super-3 number, since 3×14021013420200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14313314 + ... + 15261486.

It is an arithmetic number, because the mean of its divisors is an integer number (343241358435).

Almost surely, 2^{14021013420200} is an apocalyptic number.

14021013420200 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 14021013420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475585204880).

14021013420200 is an abundant number, since it is smaller than the sum of its proper divisors (18930156989560).

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

14021013420200 is a wasteful number, since it uses less digits than its factorization.

14021013420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948987 (or 948978 counting only the distinct ones).

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

Adding to 14021013420200 its reverse (202431012041), we get a palindrome (14223444432241).

The spelling of 14021013420200 in words is "fourteen trillion, twenty-one billion, thirteen million, four hundred twenty thousand, two hundred".