6401203200000 has 2352 divisors, whose sum is σ = 27977301525600. Its totient is φ = 1463132160000.

The previous prime is 6401203199959. The next prime is 6401203200011. The reversal of 6401203200000 is 23021046.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6401203200000 is a `hidden beast` number, since 640 + 1 + 2 + 0 + 3 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 914457599997 + ... + 914457600003.

Almost surely, 2^{6401203200000} is an apocalyptic number.

6401203200000 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 6401203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988650762800).

6401203200000 is an abundant number, since it is smaller than the sum of its proper divisors (21576098325600).

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

6401203200000 is an frugal number, since it uses more digits than its factorization.

6401203200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 6401203200000 its reverse (23021046), we get a palindrome (6401226221046).

The spelling of 6401203200000 in words is "six trillion, four hundred one billion, two hundred three million, two hundred thousand".