414106199280 has 1280 divisors, whose sum is σ = 1641494937600. Its totient is φ = 95417118720.

The previous prime is 414106199267. The next prime is 414106199293. The reversal of 414106199280 is 82991601414.

It is a happy number.

414106199280 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 0 + 619 + 9 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414106199267) and next prime (414106199293).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2479677757 + ... + 2479677923.

It is an arithmetic number, because the mean of its divisors is an integer number (1282417920).

Almost surely, 2^414106199280 is an apocalyptic number.

414106199280 is a gapful number since it is divisible by the number (40) 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 414106199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820747468800).

414106199280 is an abundant number, since it is smaller than the sum of its proper divisors (1227388738320).

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

414106199280 is a wasteful number, since it uses less digits than its factorization.

414106199280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 414106199280 in words is "four hundred fourteen billion, one hundred six million, one hundred ninety-nine thousand, two hundred eighty".