416787643745820 has 288 divisors, whose sum is σ = 1290268033367040. Its totient is φ = 108879679872000.

The previous prime is 416787643745771. The next prime is 416787643745897. The reversal of 416787643745820 is 28547346787614.

416787643745820 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 8 + 7 + 6 + 4 + 37 + 4 + 582 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1183856257 + ... + 1184208263.

It is an arithmetic number, because the mean of its divisors is an integer number (4480097338080).

Almost surely, 2^{416787643745820} 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 416787643745820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645134016683520).

416787643745820 is an abundant number, since it is smaller than the sum of its proper divisors (873480389621220).

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

416787643745820 is a wasteful number, since it uses less digits than its factorization.

416787643745820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352705 (or 352700 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 416787643745820 in words is "four hundred sixteen trillion, seven hundred eighty-seven billion, six hundred forty-three million, seven hundred forty-five thousand, eight hundred twenty".