412123329696 has 288 divisors, whose sum is σ = 1187269332480. Its totient is φ = 125106508800.

The previous prime is 412123329641. The next prime is 412123329703. The reversal of 412123329696 is 696923321214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448447125 + ... + 448448043.

It is an arithmetic number, because the mean of its divisors is an integer number (4122462960).

Almost surely, 2^412123329696 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 412123329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593634666240).

412123329696 is an abundant number, since it is smaller than the sum of its proper divisors (775146002784).

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

412123329696 is a wasteful number, since it uses less digits than its factorization.

412123329696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The spelling of 412123329696 in words is "four hundred twelve billion, one hundred twenty-three million, three hundred twenty-nine thousand, six hundred ninety-six".