412401395812224 has 2304 divisors, whose sum is σ = 1491041074279680. Its totient is φ = 100033760526336.

The previous prime is 412401395812123. The next prime is 412401395812229. The reversal of 412401395812224 is 422218593104214.

It is a super-2 number, since 2×412401395812224² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412401395812229) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1188476644819 + ... + 1188476645165.

It is an arithmetic number, because the mean of its divisors is an integer number (647153244045).

Almost surely, 2^{412401395812224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412401395812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745520537139840).

412401395812224 is an abundant number, since it is smaller than the sum of its proper divisors (1078639678467456).

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

412401395812224 is a wasteful number, since it uses less digits than its factorization.

412401395812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 412401395812224 in words is "four hundred twelve trillion, four hundred one billion, three hundred ninety-five million, eight hundred twelve thousand, two hundred twenty-four".