415505442420 has 144 divisors (see below), whose sum is σ = 1313821978560. Its totient is φ = 110227101696.

The previous prime is 415505442409. The next prime is 415505442431. The reversal of 415505442420 is 24244505514.

415505442420 is a `hidden beast` number, since 41 + 5 + 50 + 544 + 2 + 4 + 20 = 666.

415505442420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (415505442409) and next prime (415505442431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716491 + ... + 1159469.

It is an arithmetic number, because the mean of its divisors is an integer number (9123763740).

Almost surely, 2^415505442420 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 415505442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656910989280).

415505442420 is an abundant number, since it is smaller than the sum of its proper divisors (898316536140).

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

415505442420 is a wasteful number, since it uses less digits than its factorization.

415505442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443196 (or 443182 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 415505442420 its reverse (24244505514), we get a palindrome (439749947934).

The spelling of 415505442420 in words is "four hundred fifteen billion, five hundred five million, four hundred forty-two thousand, four hundred twenty".