14021413211400 has 192 divisors, whose sum is σ = 49681286860800. Its totient is φ = 3204544584960.

The previous prime is 14021413211383. The next prime is 14021413211401. The reversal of 14021413211400 is 411231412041.

It is a happy number.

It is a super-2 number, since 2×14021413211400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14021413211401) 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, 39315081 + ... + 39670119.

It is an arithmetic number, because the mean of its divisors is an integer number (258756702400).

Almost surely, 2^{14021413211400} is an apocalyptic number.

14021413211400 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 14021413211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840643430400).

14021413211400 is an abundant number, since it is smaller than the sum of its proper divisors (35659873649400).

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

14021413211400 is a wasteful number, since it uses less digits than its factorization.

14021413211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364468 (or 364459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14021413211400 its reverse (411231412041), we get a palindrome (14432644623441).

The spelling of 14021413211400 in words is "fourteen trillion, twenty-one billion, four hundred thirteen million, two hundred eleven thousand, four hundred".