414106089984 has 480 divisors, whose sum is σ = 1321235435520. Its totient is φ = 129182625792.

The previous prime is 414106089959. The next prime is 414106090043. The reversal of 414106089984 is 489980601414.

It is a happy number.

414106089984 is a `hidden beast` number, since 4 + 1 + 410 + 60 + 8 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 414106089984.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134492157 + ... + 134495235.

It is an arithmetic number, because the mean of its divisors is an integer number (2752573824).

Almost surely, 2^414106089984 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 414106089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660617717760).

414106089984 is an abundant number, since it is smaller than the sum of its proper divisors (907129345536).

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

414106089984 is an equidigital number, since it uses as much as digits as its factorization.

414106089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 414106089984 in words is "four hundred fourteen billion, one hundred six million, eighty-nine thousand, nine hundred eighty-four".