6421413888000 has 1280 divisors, whose sum is σ = 25125534720000. Its totient is φ = 1613758464000.

The previous prime is 6421413887989. The next prime is 6421413888023. The reversal of 6421413888000 is 8883141246.

6421413888000 is a `hidden beast` number, since 64 + 21 + 413 + 88 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33619967905 + ... + 33619968095.

It is an arithmetic number, because the mean of its divisors is an integer number (19629324000).

Almost surely, 2^{6421413888000} is an apocalyptic number.

6421413888000 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 6421413888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12562767360000).

6421413888000 is an abundant number, since it is smaller than the sum of its proper divisors (18704120832000).

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

6421413888000 is an frugal number, since it uses more digits than its factorization.

6421413888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 6421413888000 in words is "six trillion, four hundred twenty-one billion, four hundred thirteen million, eight hundred eighty-eight thousand".