412485129090216 has 1152 divisors, whose sum is σ = 1504603636623360. Its totient is φ = 100989039513600.

The previous prime is 412485129090119. The next prime is 412485129090239. The reversal of 412485129090216 is 612090921584214.

412485129090216 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 8 + 51 + 290 + 90 + 216 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3734971350 + ... + 3735081786.

It is an arithmetic number, because the mean of its divisors is an integer number (1306079545680).

Almost surely, 2^{412485129090216} 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 412485129090216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752301818311680).

412485129090216 is an abundant number, since it is smaller than the sum of its proper divisors (1092118507533144).

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

412485129090216 is a wasteful number, since it uses less digits than its factorization.

412485129090216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110615 (or 110601 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 412485129090216 in words is "four hundred twelve trillion, four hundred eighty-five billion, one hundred twenty-nine million, ninety thousand, two hundred sixteen".