6412130972910 has 384 divisors, whose sum is σ = 19943868211200. Its totient is φ = 1461036994560.

The previous prime is 6412130972903. The next prime is 6412130972921. The reversal of 6412130972910 is 192790312146.

6412130972910 is a `hidden beast` number, since 6 + 412 + 130 + 97 + 2 + 9 + 10 = 666.

It is a super-2 number, since 2×6412130972910² (a number of 26 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32435646 + ... + 32632734.

It is an arithmetic number, because the mean of its divisors is an integer number (51937156800).

Almost surely, 2^{6412130972910} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412130972910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971934105600).

6412130972910 is an abundant number, since it is smaller than the sum of its proper divisors (13531737238290).

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

6412130972910 is a wasteful number, since it uses less digits than its factorization.

6412130972910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197185 (or 197166 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 6412130972910 in words is "six trillion, four hundred twelve billion, one hundred thirty million, nine hundred seventy-two thousand, nine hundred ten".