412845600000 has 648 divisors, whose sum is σ = 1427035851360. Its totient is φ = 105945600000.

The previous prime is 412845599987. The next prime is 412845600001. The reversal of 412845600000 is 6548214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412845600001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2306399911 + ... + 2306400089.

It is an arithmetic number, because the mean of its divisors is an integer number (2202215820).

Almost surely, 2^412845600000 is an apocalyptic number.

412845600000 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 412845600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713517925680).

412845600000 is an abundant number, since it is smaller than the sum of its proper divisors (1014190251360).

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

412845600000 is an frugal number, since it uses more digits than its factorization.

412845600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 412845600000 in words is "four hundred twelve billion, eight hundred forty-five million, six hundred thousand".