416245640202 has 192 divisors, whose sum is σ = 1080859852800. Its totient is φ = 113263194240.

The previous prime is 416245640201. The next prime is 416245640207. The reversal of 416245640202 is 202046542614.

416245640202 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 4 + 5 + 640 + 2 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (416245640201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83063877 + ... + 83068887.

It is an arithmetic number, because the mean of its divisors is an integer number (5629478400).

Almost surely, 2^416245640202 is an apocalyptic number.

416245640202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 416245640202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540429926400).

416245640202 is an abundant number, since it is smaller than the sum of its proper divisors (664614212598).

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

416245640202 is a wasteful number, since it uses less digits than its factorization.

416245640202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 416245640202 in words is "four hundred sixteen billion, two hundred forty-five million, six hundred forty thousand, two hundred two".