412034264208 has 180 divisors, whose sum is σ = 1368475288960. Its totient is φ = 117723865536.

The previous prime is 412034264189. The next prime is 412034264281. The reversal of 412034264208 is 802462430214.

412034264208 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 4 + 2 + 642 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 454473 + ... + 1015191.

Almost surely, 2^412034264208 is an apocalyptic number.

412034264208 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 412034264208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684237644480).

412034264208 is an abundant number, since it is smaller than the sum of its proper divisors (956441024752).

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

412034264208 is an frugal number, since it uses more digits than its factorization.

412034264208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560758 (or 560731 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 412034264208 in words is "four hundred twelve billion, thirty-four million, two hundred sixty-four thousand, two hundred eight".