412047008683200 has 3024 divisors, whose sum is σ = 1756551573504000. Its totient is φ = 94792500633600.

The previous prime is 412047008683181. The next prime is 412047008683213. The reversal of 412047008683200 is 2386800740214.

It is a happy number.

412047008683200 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 470 + 0 + 86 + 83 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 80493650241 + ... + 80493655359.

Almost surely, 2^{412047008683200} is an apocalyptic number.

412047008683200 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 412047008683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878275786752000).

412047008683200 is an abundant number, since it is smaller than the sum of its proper divisors (1344504564820800).

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

412047008683200 is a wasteful number, since it uses less digits than its factorization.

412047008683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 412047008683200 in words is "four hundred twelve trillion, forty-seven billion, eight million, six hundred eighty-three thousand, two hundred".