412021430400 has 192 divisors, whose sum is σ = 1358926416000. Its totient is φ = 109724160000.

The previous prime is 412021430369. The next prime is 412021430453. The reversal of 412021430400 is 4034120214.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7181026 + ... + 7238174.

It is an arithmetic number, because the mean of its divisors is an integer number (7077741750).

Almost surely, 2^412021430400 is an apocalyptic number.

412021430400 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 412021430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679463208000).

412021430400 is an abundant number, since it is smaller than the sum of its proper divisors (946904985600).

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

412021430400 is a wasteful number, since it uses less digits than its factorization.

412021430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57927 (or 57910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 412021430400 its reverse (4034120214), we get a palindrome (416055550614).

The spelling of 412021430400 in words is "four hundred twelve billion, twenty-one million, four hundred thirty thousand, four hundred".