416869326720 has 2304 divisors, whose sum is σ = 1985206579200. Its totient is φ = 79427174400.

The previous prime is 416869326719. The next prime is 416869326749. The reversal of 416869326720 is 27623968614.

416869326720 is a `hidden beast` number, since 416 + 86 + 93 + 2 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×416869326720² (a number of 24 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2182561825 + ... + 2182562015.

It is an arithmetic number, because the mean of its divisors is an integer number (861634800).

Almost surely, 2^416869326720 is an apocalyptic number.

416869326720 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 416869326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992603289600).

416869326720 is an abundant number, since it is smaller than the sum of its proper divisors (1568337252480).

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

416869326720 is a wasteful number, since it uses less digits than its factorization.

416869326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 416869326720 in words is "four hundred sixteen billion, eight hundred sixty-nine million, three hundred twenty-six thousand, seven hundred twenty".