412704381600 has 1296 divisors, whose sum is σ = 1745684269056. Its totient is φ = 91445760000.

The previous prime is 412704381553. The next prime is 412704381613. The reversal of 412704381600 is 6183407214.

412704381600 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 0 + 43 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2733141525 + ... + 2733141675.

Almost surely, 2^412704381600 is an apocalyptic number.

412704381600 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 412704381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872842134528).

412704381600 is an abundant number, since it is smaller than the sum of its proper divisors (1332979887456).

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

412704381600 is a wasteful number, since it uses less digits than its factorization.

412704381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 412704381600 its reverse (6183407214), we get a palindrome (418887788814).

The spelling of 412704381600 in words is "four hundred twelve billion, seven hundred four million, three hundred eighty-one thousand, six hundred".