412039936000 has 384 divisors, whose sum is σ = 1281973754880. Its totient is φ = 128421888000.

The previous prime is 412039935973. The next prime is 412039936001. The reversal of 412039936000 is 639930214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412039936001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19701549 + ... + 19722451.

It is an arithmetic number, because the mean of its divisors is an integer number (3338473320).

Almost surely, 2^412039936000 is an apocalyptic number.

412039936000 is a gapful number since it is divisible by the number (40) 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 412039936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640986877440).

412039936000 is an abundant number, since it is smaller than the sum of its proper divisors (869933818880).

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

412039936000 is a wasteful number, since it uses less digits than its factorization.

412039936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20928 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 412039936000 in words is "four hundred twelve billion, thirty-nine million, nine hundred thirty-six thousand".