412313345122400 has 144 divisors (see below), whose sum is σ = 1015660234147104. Its totient is φ = 163434806599680.

The previous prime is 412313345122387. The next prime is 412313345122423. The reversal of 412313345122400 is 4221543313214.

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, 478961162 + ... + 479821238.

It is an arithmetic number, because the mean of its divisors is an integer number (7053196070466).

Almost surely, 2^{412313345122400} is an apocalyptic number.

412313345122400 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 412313345122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507830117073552).

412313345122400 is an abundant number, since it is smaller than the sum of its proper divisors (603346889024704).

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

412313345122400 is a wasteful number, since it uses less digits than its factorization.

412313345122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865513 (or 865500 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 412313345122400 its reverse (4221543313214), we get a palindrome (416534888435614).

The spelling of 412313345122400 in words is "four hundred twelve trillion, three hundred thirteen billion, three hundred forty-five million, one hundred twenty-two thousand, four hundred".