416293613360 has 80 divisors (see below), whose sum is σ = 1011429192960. Its totient is φ = 159046567680.

The previous prime is 416293613357. The next prime is 416293613377. The reversal of 416293613360 is 63316392614.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1107731 + ... + 1435149.

It is an arithmetic number, because the mean of its divisors is an integer number (12642864912).

Almost surely, 2^416293613360 is an apocalyptic number.

416293613360 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 416293613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505714596480).

416293613360 is an abundant number, since it is smaller than the sum of its proper divisors (595135579600).

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

416293613360 is a wasteful number, since it uses less digits than its factorization.

416293613360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328146 (or 328140 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 416293613360 in words is "four hundred sixteen billion, two hundred ninety-three million, six hundred thirteen thousand, three hundred sixty".