412221902400 has 2016 divisors, whose sum is σ = 2037675294720. Its totient is φ = 76308480000.

The previous prime is 412221902329. The next prime is 412221902471. The reversal of 412221902400 is 4209122214.

412221902400 is a `hidden beast` number, since 41 + 2 + 2 + 219 + 0 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (412221902329) and next prime (412221902471).

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 358141825 + ... + 358142975.

Almost surely, 2^412221902400 is an apocalyptic number.

412221902400 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 412221902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018837647360).

412221902400 is an abundant number, since it is smaller than the sum of its proper divisors (1625453392320).

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

412221902400 is a wasteful number, since it uses less digits than its factorization.

412221902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 412221902400 in words is "four hundred twelve billion, two hundred twenty-one million, nine hundred two thousand, four hundred".