416194041483264 has 832 divisors, whose sum is σ = 1339868835422208. Its totient is φ = 113342152704000.

The previous prime is 416194041483251. The next prime is 416194041483271. The reversal of 416194041483264 is 462384140491614.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31763256937 + ... + 31763270039.

It is an arithmetic number, because the mean of its divisors is an integer number (1610419273344).

Almost surely, 2^{416194041483264} is an apocalyptic number.

416194041483264 is a gapful number since it is divisible by the number (44) 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 416194041483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669934417711104).

416194041483264 is an abundant number, since it is smaller than the sum of its proper divisors (923674793938944).

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

416194041483264 is a wasteful number, since it uses less digits than its factorization.

416194041483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13782 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 416194041483264 in words is "four hundred sixteen trillion, one hundred ninety-four billion, forty-one million, four hundred eighty-three thousand, two hundred sixty-four".