6428014051200 has 768 divisors, whose sum is σ = 25642251648000. Its totient is φ = 1381645025280.

The previous prime is 6428014051169. The next prime is 6428014051211. The reversal of 6428014051200 is 21504108246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2226536157 + ... + 2226539043.

It is an arithmetic number, because the mean of its divisors is an integer number (33388348500).

Almost surely, 2^{6428014051200} is an apocalyptic number.

6428014051200 is a gapful number since it is divisible by the number (60) 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 6428014051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821125824000).

6428014051200 is an abundant number, since it is smaller than the sum of its proper divisors (19214237596800).

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

6428014051200 is a wasteful number, since it uses less digits than its factorization.

6428014051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 6428014051200 its reverse (21504108246), we get a palindrome (6449518159446).

The spelling of 6428014051200 in words is "six trillion, four hundred twenty-eight billion, fourteen million, fifty-one thousand, two hundred".