416287405212 has 192 divisors, whose sum is σ = 1140810316800. Its totient is φ = 115698585600.

The previous prime is 416287405169. The next prime is 416287405217. The reversal of 416287405212 is 212504782614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416287405217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234263268 + ... + 234265044.

It is an arithmetic number, because the mean of its divisors is an integer number (5941720400).

Almost surely, 2^416287405212 is an apocalyptic number.

416287405212 is a gapful number since it is divisible by the number (42) 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 416287405212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570405158400).

416287405212 is an abundant number, since it is smaller than the sum of its proper divisors (724522911588).

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

416287405212 is a wasteful number, since it uses less digits than its factorization.

416287405212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 416287405212 in words is "four hundred sixteen billion, two hundred eighty-seven million, four hundred five thousand, two hundred twelve".