415221332420 has 48 divisors (see below), whose sum is σ = 955093310640. Its totient is φ = 150928318464.

The previous prime is 415221332417. The next prime is 415221332459. The reversal of 415221332420 is 24233122514.

It can be written as a sum of positive squares in 8 ways, for example, as 33672984004 + 381548348416 = 183502^2 + 617696^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21045989 + ... + 21065708.

It is an arithmetic number, because the mean of its divisors is an integer number (19897777305).

Almost surely, 2^415221332420 is an apocalyptic number.

It is an amenable number.

415221332420 is an abundant number, since it is smaller than the sum of its proper divisors (539871978220).

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

415221332420 is a wasteful number, since it uses less digits than its factorization.

415221332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42111752 (or 42111750 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 415221332420 its reverse (24233122514), we get a palindrome (439454454934).

The spelling of 415221332420 in words is "four hundred fifteen billion, two hundred twenty-one million, three hundred thirty-two thousand, four hundred twenty".