412069222656 has 1296 divisors, whose sum is σ = 1583287305600. Its totient is φ = 100615716864.

The previous prime is 412069222651. The next prime is 412069222687. The reversal of 412069222656 is 656222960214.

412069222656 is a `hidden beast` number, since 412 + 0 + 6 + 9 + 2 + 226 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (412069222651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3780451530 + ... + 3780451638.

Almost surely, 2^412069222656 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 412069222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791643652800).

412069222656 is an abundant number, since it is smaller than the sum of its proper divisors (1171218082944).

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

412069222656 is a wasteful number, since it uses less digits than its factorization.

412069222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 412069222656 in words is "four hundred twelve billion, sixty-nine million, two hundred twenty-two thousand, six hundred fifty-six".