416682420618240 has 3168 divisors, whose sum is σ = 1817238154927104. Its totient is φ = 91179051909120.

The previous prime is 416682420618229. The next prime is 416682420618253. The reversal of 416682420618240 is 42816024286614.

416682420618240 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 82 + 420 + 61 + 82 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 183318265744 + ... + 183318268016.

Almost surely, 2^{416682420618240} is an apocalyptic number.

416682420618240 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 416682420618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908619077463552).

416682420618240 is an abundant number, since it is smaller than the sum of its proper divisors (1400555734308864).

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

416682420618240 is a wasteful number, since it uses less digits than its factorization.

416682420618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 416682420618240 in words is "four hundred sixteen trillion, six hundred eighty-two billion, four hundred twenty million, six hundred eighteen thousand, two hundred forty".