412114244400 has 180 divisors, whose sum is σ = 1430568232912. Its totient is φ = 109865064960.

The previous prime is 412114244383. The next prime is 412114244459. The reversal of 412114244400 is 4442411214.

It is a happy number.

412114244400 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 14 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13942437 + ... + 13971963.

Almost surely, 2^412114244400 is an apocalyptic number.

412114244400 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 412114244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715284116456).

412114244400 is an abundant number, since it is smaller than the sum of its proper divisors (1018453988512).

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

412114244400 is a wasteful number, since it uses less digits than its factorization.

412114244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33428 (or 33414 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 412114244400 its reverse (4442411214), we get a palindrome (416556655614).

The spelling of 412114244400 in words is "four hundred twelve billion, one hundred fourteen million, two hundred forty-four thousand, four hundred".