416696747463360 has 1344 divisors, whose sum is σ = 1780770938978304. Its totient is φ = 87085626163200.

The previous prime is 416696747463343. The next prime is 416696747463397. The reversal of 416696747463360 is 63364747696614.

416696747463360 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 9 + 67 + 47 + 463 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21335136795 + ... + 21335156325.

It is an arithmetic number, because the mean of its divisors is an integer number (1324978377216).

Almost surely, 2^{416696747463360} is an apocalyptic number.

416696747463360 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 416696747463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890385469489152).

416696747463360 is an abundant number, since it is smaller than the sum of its proper divisors (1364074191514944).

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

416696747463360 is a wasteful number, since it uses less digits than its factorization.

416696747463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20342 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 72.

The spelling of 416696747463360 in words is "four hundred sixteen trillion, six hundred ninety-six billion, seven hundred forty-seven million, four hundred sixty-three thousand, three hundred sixty".