6434120160000 has 2160 divisors, whose sum is σ = 26137982943072. Its totient is φ = 1511424000000.

The previous prime is 6434120159969. The next prime is 6434120160029. The reversal of 6434120160000 is 610214346.

6434120160000 is a `hidden beast` number, since 6 + 4 + 34 + 1 + 20 + 1 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63704159950 + ... + 63704160050.

Almost surely, 2^{6434120160000} is an apocalyptic number.

6434120160000 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 6434120160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068991471536).

6434120160000 is an abundant number, since it is smaller than the sum of its proper divisors (19703862783072).

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

6434120160000 is a wasteful number, since it uses less digits than its factorization.

6434120160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 6434120160000 its reverse (610214346), we get a palindrome (6434730374346).

The spelling of 6434120160000 in words is "six trillion, four hundred thirty-four billion, one hundred twenty million, one hundred sixty thousand".