6412024134144 has 60 divisors (see below), whose sum is σ = 18505535811906. Its totient is φ = 2137341376512.

The previous prime is 6412024134137. The next prime is 6412024134149. The reversal of 6412024134144 is 4414314202146.

6412024134144 is a `hidden beast` number, since 64 + 12 + 0 + 241 + 341 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5381880332544 + 1030143801600 = 2319888^2 + 1014960^2 .

It is a super-2 number, since 2×6412024134144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6412024134099 and 6412024134108.

It is not an unprimeable number, because it can be changed into a prime (6412024134149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695744539 + ... + 695753754.

Almost surely, 2^{6412024134144} is an apocalyptic number.

6412024134144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6412024134144 is an abundant number, since it is smaller than the sum of its proper divisors (12093511677762).

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

6412024134144 is a wasteful number, since it uses less digits than its factorization.

6412024134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391498317 (or 1391498298 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 6412024134144 in words is "six trillion, four hundred twelve billion, twenty-four million, one hundred thirty-four thousand, one hundred forty-four".