6412071420 has 144 divisors (see below), whose sum is σ = 19964616672. Its totient is φ = 1664893440.

The previous prime is 6412071401. The next prime is 6412071431. The reversal of 6412071420 is 241702146.

6412071420 is a `hidden beast` number, since 641 + 2 + 0 + 7 + 14 + 2 + 0 = 666.

It is a super-2 number, since 2×6412071420² = 82229319790361632800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2885910 + ... + 2888130.

Almost surely, 2^6412071420 is an apocalyptic number.

6412071420 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 6412071420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982308336).

6412071420 is an abundant number, since it is smaller than the sum of its proper divisors (13552545252).

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

6412071420 is a wasteful number, since it uses less digits than its factorization.

6412071420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6412071420 is about 80075.4108325396. The cubic root of 6412071420 is about 1857.8021038122.

Adding to 6412071420 its reverse (241702146), we get a palindrome (6653773566).

The spelling of 6412071420 in words is "six billion, four hundred twelve million, seventy-one thousand, four hundred twenty".