412839903060 has 384 divisors, whose sum is σ = 1466231155200. Its totient is φ = 95534899200.

The previous prime is 412839903053. The next prime is 412839903061. The reversal of 412839903060 is 60309938214.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 412839902997 and 412839903015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412839903061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155260011 + ... + 155262669.

It is an arithmetic number, because the mean of its divisors is an integer number (3818310300).

Almost surely, 2^412839903060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412839903060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733115577600).

412839903060 is an abundant number, since it is smaller than the sum of its proper divisors (1053391252140).

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

412839903060 is a wasteful number, since it uses less digits than its factorization.

412839903060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 412839903060 in words is "four hundred twelve billion, eight hundred thirty-nine million, nine hundred three thousand, sixty".