412467274210200 has 384 divisors, whose sum is σ = 1468365218611200. Its totient is φ = 94725412416000.

The previous prime is 412467274210193. The next prime is 412467274210217. The reversal of 412467274210200 is 2012472764214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3951427209 + ... + 3951531591.

It is an arithmetic number, because the mean of its divisors is an integer number (3823867756800).

Almost surely, 2^{412467274210200} is an apocalyptic number.

412467274210200 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 412467274210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734182609305600).

412467274210200 is an abundant number, since it is smaller than the sum of its proper divisors (1055897944401000).

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

412467274210200 is a wasteful number, since it uses less digits than its factorization.

412467274210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135943 (or 135934 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 412467274210200 in words is "four hundred twelve trillion, four hundred sixty-seven billion, two hundred seventy-four million, two hundred ten thousand, two hundred".