412400222208 has 560 divisors, whose sum is σ = 1347804750600. Its totient is φ = 125363552256.

The previous prime is 412400222191. The next prime is 412400222231. The reversal of 412400222208 is 802222004214.

412400222208 is a `hidden beast` number, since 4 + 12 + 400 + 22 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4968677335 + ... + 4968677417.

Almost surely, 2^412400222208 is an apocalyptic number.

412400222208 is a gapful number since it is divisible by the number (48) 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 412400222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673902375300).

412400222208 is an abundant number, since it is smaller than the sum of its proper divisors (935404528392).

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

412400222208 is an frugal number, since it uses more digits than its factorization.

412400222208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 412400222208 in words is "four hundred twelve billion, four hundred million, two hundred twenty-two thousand, two hundred eight".