412718726400 has 216 divisors, whose sum is σ = 1395281362944. Its totient is φ = 107373772800.

The previous prime is 412718726383. The next prime is 412718726437. The reversal of 412718726400 is 4627817214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525057 + ... + 1049343.

Almost surely, 2^412718726400 is an apocalyptic number.

412718726400 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 412718726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697640681472).

412718726400 is an abundant number, since it is smaller than the sum of its proper divisors (982562636544).

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

412718726400 is a wasteful number, since it uses less digits than its factorization.

412718726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524357 (or 524338 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 412718726400 in words is "four hundred twelve billion, seven hundred eighteen million, seven hundred twenty-six thousand, four hundred".