415141620208 has 80 divisors (see below), whose sum is σ = 949979197440. Its totient is φ = 171981849600.

The previous prime is 415141620197. The next prime is 415141620209. The reversal of 415141620208 is 802026141514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415141620209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2990973 + ... + 3126691.

It is an arithmetic number, because the mean of its divisors is an integer number (11874739968).

Almost surely, 2^415141620208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415141620208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474989598720).

415141620208 is an abundant number, since it is smaller than the sum of its proper divisors (534837577232).

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

415141620208 is a wasteful number, since it uses less digits than its factorization.

415141620208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136646 (or 136640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 415141620208 in words is "four hundred fifteen billion, one hundred forty-one million, six hundred twenty thousand, two hundred eight".