412920471600 has 2430 divisors, whose sum is σ = 1972961272620. Its totient is φ = 82536330240.

The previous prime is 412920471569. The next prime is 412920471643. The reversal of 412920471600 is 6174029214.

It is a happy number.

412920471600 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 2 + 0 + 47 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2430).

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 485 ways as a sum of consecutive naturals, for example, 21732656391 + ... + 21732656409.

Almost surely, 2^412920471600 is an apocalyptic number.

412920471600 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 412920471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986480636310).

412920471600 is an abundant number, since it is smaller than the sum of its proper divisors (1560040801020).

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

412920471600 is a wasteful number, since it uses less digits than its factorization.

412920471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 412920471600 in words is "four hundred twelve billion, nine hundred twenty million, four hundred seventy-one thousand, six hundred".