415320000000 has 320 divisors, whose sum is σ = 1383444114624. Its totient is φ = 110720000000.

The previous prime is 415319999987. The next prime is 415320000001. The reversal of 415320000000 is 23514.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415320000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119998270 + ... + 120001730.

Almost surely, 2^415320000000 is an apocalyptic number.

415320000000 is a gapful number since it is divisible by the number (40) 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 415320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691722057312).

415320000000 is an abundant number, since it is smaller than the sum of its proper divisors (968124114624).

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

415320000000 is an frugal number, since it uses more digits than its factorization.

415320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 415320000000 its reverse (23514), we get a palindrome (415320023514).

The spelling of 415320000000 in words is "four hundred fifteen billion, three hundred twenty million", and thus it is an aban number.