412422121340400 has 120 divisors (see below), whose sum is σ = 1339732930783104. Its totient is φ = 108430229062400.

The previous prime is 412422121340351. The next prime is 412422121340429. The reversal of 412422121340400 is 4043121224214.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2420232414 + ... + 2420402813.

Almost surely, 2^{412422121340400} is an apocalyptic number.

412422121340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412422121340400 is an abundant number, since it is smaller than the sum of its proper divisors (927310809442704).

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

412422121340400 is a wasteful number, since it uses less digits than its factorization.

412422121340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840635319 (or 4840635308 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 412422121340400 its reverse (4043121224214), we get a palindrome (416465242564614).

The spelling of 412422121340400 in words is "four hundred twelve trillion, four hundred twenty-two billion, one hundred twenty-one million, three hundred forty thousand, four hundred".