416065532580 has 192 divisors, whose sum is σ = 1324859719680. Its totient is φ = 108352556928.

The previous prime is 416065532563. The next prime is 416065532587. The reversal of 416065532580 is 85235560614.

416065532580 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 65 + 5 + 3 + 2 + 580 = 666.

It is a super-2 number, since 2×416065532580² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (416065532587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11733237 + ... + 11768643.

It is an arithmetic number, because the mean of its divisors is an integer number (6900311040).

Almost surely, 2^416065532580 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 416065532580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662429859840).

416065532580 is an abundant number, since it is smaller than the sum of its proper divisors (908794187100).

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

416065532580 is a wasteful number, since it uses less digits than its factorization.

416065532580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35935 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 416065532580 in words is "four hundred sixteen billion, sixty-five million, five hundred thirty-two thousand, five hundred eighty".