412851440400 has 1440 divisors, whose sum is σ = 1669287444480. Its totient is φ = 86800896000.

The previous prime is 412851440357. The next prime is 412851440429. The reversal of 412851440400 is 4044158214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5225967561 + ... + 5225967639.

It is an arithmetic number, because the mean of its divisors is an integer number (1159227392).

Almost surely, 2^412851440400 is an apocalyptic number.

412851440400 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 412851440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834643722240).

412851440400 is an abundant number, since it is smaller than the sum of its proper divisors (1256436004080).

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

412851440400 is a wasteful number, since it uses less digits than its factorization.

412851440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 412851440400 its reverse (4044158214), we get a palindrome (416895598614).

The spelling of 412851440400 in words is "four hundred twelve billion, eight hundred fifty-one million, four hundred forty thousand, four hundred".