410785661509632 has 560 divisors, whose sum is σ = 1261734803680032. Its totient is φ = 133084430991360.

The previous prime is 410785661509607. The next prime is 410785661509661. The reversal of 410785661509632 is 236905166587014.

It is a happy number.

410785661509632 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 8 + 5 + 6 + 61 + 509 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 410785661509632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24134041282 + ... + 24134058302.

It is a 2-persistent number, because it is pandigital, and so is 2⋅410785661509632 = 821571323019264, but 3⋅410785661509632 = 1232356984528896 is not.

Almost surely, 2^{410785661509632} 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 410785661509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630867401840016).

410785661509632 is an abundant number, since it is smaller than the sum of its proper divisors (850949142170400).

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

410785661509632 is an equidigital number, since it uses as much as digits as its factorization.

410785661509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 410785661509632 in words is "four hundred ten trillion, seven hundred eighty-five billion, six hundred sixty-one million, five hundred nine thousand, six hundred thirty-two".