415040485920 has 192 divisors, whose sum is σ = 1320946704000. Its totient is φ = 109531201536.

The previous prime is 415040485903. The next prime is 415040485991. The reversal of 415040485920 is 29584040514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48601011 + ... + 48609549.

It is an arithmetic number, because the mean of its divisors is an integer number (6879930750).

Almost surely, 2^415040485920 is an apocalyptic number.

415040485920 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 415040485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660473352000).

415040485920 is an abundant number, since it is smaller than the sum of its proper divisors (905906218080).

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

415040485920 is a wasteful number, since it uses less digits than its factorization.

415040485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 4150404 and 85920, that added together give a palindrome (4236324).

The spelling of 415040485920 in words is "four hundred fifteen billion, forty million, four hundred eighty-five thousand, nine hundred twenty".