412551927216 has 480 divisors, whose sum is σ = 1412212112640. Its totient is φ = 114296832000.

The previous prime is 412551927209. The next prime is 412551927223. The reversal of 412551927216 is 612729155214.

412551927216 is a `hidden beast` number, since 4 + 1 + 2 + 551 + 92 + 7 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (412551927209) and next prime (412551927223).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85928016 + ... + 85932816.

It is an arithmetic number, because the mean of its divisors is an integer number (2942108568).

Almost surely, 2^412551927216 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 412551927216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706106056320).

412551927216 is an abundant number, since it is smaller than the sum of its proper divisors (999660185424).

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

412551927216 is a wasteful number, since it uses less digits than its factorization.

412551927216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4937 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 412551927216 in words is "four hundred twelve billion, five hundred fifty-one million, nine hundred twenty-seven thousand, two hundred sixteen".