416530833664 has 243 divisors, whose sum is σ = 969545410029. Its totient is φ = 178437980160.

The previous prime is 416530833647. The next prime is 416530833671. The reversal of 416530833664 is 466338035614.

The square root of 416530833664 is 645392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100920582400 + 315610251264 = 317680^2 + 561792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2158190752 + ... + 2158190944.

Almost surely, 2^416530833664 is an apocalyptic number.

416530833664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

416530833664 is the 645392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416530833664

416530833664 is an abundant number, since it is smaller than the sum of its proper divisors (553014576365).

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

416530833664 is an equidigital number, since it uses as much as digits as its factorization.

416530833664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

Multiplying 416530833664 by its sum of digits (49), we get a square (20410010849536 = 4517744²).

The spelling of 416530833664 in words is "four hundred sixteen billion, five hundred thirty million, eight hundred thirty-three thousand, six hundred sixty-four".